Dimitry A. Leites - Author Profile

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Leites, Dimitry A.

Author ID:	leites.dimitry-a
Published as:	Leites, Dimitry; Leites, D. A.; Leites, Dimitry A.; Leites, D.; Leĭtes, D. A.; Leĭtes, D. more...less

Documents Indexed:	139 Publications since 1974, including 1 Book and 18 Additional arXiv Preprints
	1 Further Contribution
Reviewing Activity:	64 Reviews
Co-Authors:	42 Co-Authors with 93 Joint Publications
	1,374 Co-Co-Authors

all top 5

Co-Authors

37	single-authored
22	Bouarroudj, Sofiane
20	Grozman, Pavel
18	Shchepochkina, Irina
16	Lebedev, Aleksei Vital’evich
11	Bernstein, Joseph
9	Serganova, Vera V.
6	Krutov, Andrey Olegovich
5	Poletaeva, Elena
4	Shchepochkina, I. M.
3	Grozman, P. Ya.
3	Kirillov, Alexandre Aleksandrovich
3	Lozhechnyk, Oleksandr
3	Sergeev, Aleksandr Nikolaevich
3	Shang, Jin
2	Berezin, Feliks Aleksandrovich
2	Bogolyubov, Nikolaĭ Nikolaevich
2	Chapovalov, Maxim
2	Dobrushin, Roland L’vovich
2	Feĭgin, Boris L’vovich
2	Gel’fand, Israil’ Moiseevich
2	Iyer, Uma N.
2	Kochetkov, Yuri Yu.
2	Kreĭn, Mark Grigor’evich
2	Minlos, Robert Adol’fovich
2	Saveliev, Mikhail V.
2	Semenov-Tyan-Shanskiĭ, Mikhail Arsen’evich
2	Shubin, Mikhail Aleksandrovich
2	Sinaĭ, Yakov Grigor’evich
1	Akhiezer, Dmitriĭ Naumovich
1	Alekseevskiĭ, Dmitriĭ Vladimirovich
1	Bovdi, Victor A.
1	Chaichian, Masud
1	Chapovalov, Danil
1	Floreanini, Roberto
1	Fuchs, Dmitry Borisovich
1	Gorbatsevich, Vladimir Vital’evich
1	Kazarin, Lev Sergeevich
1	Kirillova, R. Yu.
1	Kotecký, Roman
1	Leznov, Andreĭ Nikolaevich
1	Lukierski, Jerzy
1	Messaoudene, Mohamed
1	Minachin, V. V.
1	Niederle, Jiri
1	Sachse, Christoph
1	Shapovalov, Aleksandr V.
1	Shchetinin, A. N.
1	Shereshevskii, Ilya Aronovich
1	Stekolshchik, Rafael
1	Vinberg, Èrnest Borisovich
1	Vinel, Gérard
1	Vinet, Luc
1	Weintrob, Arkady

all top 5

Serials

10	Theoretical and Mathematical Physics
9	Journal of Nonlinear Mathematical Physics
7	Functional Analysis and its Applications
7	Doklady Bolgarskoĭ Akademii Nauk
4	Uspekhi Matematicheskikh Nauk [N. S.]
4	Czechoslovak Journal of Physics
4	SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
3	Russian Mathematical Surveys
3	Funktsional’nyĭ Analiz i ego Prilozheniya
3	Homology, Homotopy and Applications
2	Letters in Mathematical Physics
2	Teoreticheskaya i Matematicheskaya Fizika
2	Journal of Soviet Mathematics
2	Mathematica Scandinavica
2	Soviet Mathematics. Doklady
2	Selecta Mathematica Sovietica
2	International Journal of Algebra and Computation
2	IMRN. International Mathematics Research Notices
2	Linear Algebra and its Applications
2	Serdica
2	Journal of Lie Theory
2	The Journal of Prime Research in Mathematics
1	Physics Letters. B
1	Acta Mathematica Vietnamica
1	Duke Mathematical Journal
1	Journal of Algebra
1	Experimental Mathematics
1	Zapiski Nauchnykh Seminarov POMI
1	Journal of Mathematical Sciences (New York)
1	Mathematical Research Letters
1	Advances in Theoretical and Mathematical Physics
1	Algebras and Representation Theory
1	Matematicheskiĭ Zhurnal
1	Mathematical Physics and Applied Mathematics
1	Translations. Series 2. American Mathematical Society
1	Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova
1	Communications in Mathematics
1	Arnold Mathematical Journal

all top 5

Fields

115	Nonassociative rings and algebras (17-XX)
37	Global analysis, analysis on manifolds (58-XX)
25	Quantum theory (81-XX)
13	Differential geometry (53-XX)
11	Dynamical systems and ergodic theory (37-XX)
9	Mechanics of particles and systems (70-XX)
7	Partial differential equations (35-XX)
6	Linear and multilinear algebra; matrix theory (15-XX)
6	Relativity and gravitational theory (83-XX)
5	History and biography (01-XX)
5	Topological groups, Lie groups (22-XX)
4	Associative rings and algebras (16-XX)
4	Several complex variables and analytic spaces (32-XX)
3	Ordinary differential equations (34-XX)
2	Algebraic geometry (14-XX)
2	Group theory and generalizations (20-XX)
1	Special functions (33-XX)
1	Functional analysis (46-XX)
1	Operator theory (47-XX)
1	Algebraic topology (55-XX)
1	Computer science (68-XX)
1	Statistical mechanics, structure of matter (82-XX)
1	Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

114 Publications have been cited 949 times in 535 Documents	Cited by ▼	Year ▼
Introduction to superanalysis. Ed. by A. A. Kirillov. Transl. from the Russian by J. Niederle and R. Kotecký, ed. and rev. by Dimitri Leites. Zbl 0659.58001 Berezin, Feliks Aleksandrovich	195	1987
Introduction to the theory of supermanifolds. Zbl 0462.58002 Leites, D. A.	176	1980
Introduction to the theory of supermanifolds. Zbl 0439.58007 Leites, D. A.	78	1980
Supermanifolds. Zbl 0331.58005 Berezin, F. A.; Leites, D. A.	59	1975
Classification of finite dimensional modular Lie superalgebras with indecomposable Cartan matrix. Zbl 1220.17010 Bouarroudj, Sofiane; Grozman, Pavel; Leites, Dimitry	47	2009
Lie superalgebras of string theories. Zbl 1061.17021 Grozman, Pavel; Leites, Dimitry; Shchepochkina, Irina	38	2001
Theory of supermanifolds. (Теория многообразии.) Zbl 0599.58001 Leites, D. A.	37	1983
On the defining relations of quantum superalgebras. Zbl 0736.17015 Floreanini, Roberto; Leites, Dimitry A.; Vinet, Luc	29	1991
A formula for the characters of finite dimensional irreducible representations of Lie superalgebras of the series \(\text{Gl}\) and \(\text{sl}\). Zbl 0457.17002 Bernshtein, I. N.; Leites, D. A.	26	1980
Cohomology of Lie superalgebras. Zbl 0586.17005 Fuks, D. B.; Leites, D. A.	25	1984
Divided power (co)homology. Presentations of simple finite dimensional modular Lie superalgebras with Cartan matrix. Zbl 1200.17009 Bouarroudj, Sofiane; Grozman, Pavel; Lebedev, Alexei; Leites, Dimitry	23	2010
Invariant operators on supermanifolds and standard models. Zbl 1037.58003 Grozman, Pavel; Leites, Dimitry; Shchepochkina, Irina	22	2002
How to quantize the antibracket. Zbl 1039.17025 Leites, D. A.; Shchepochkina, I. M.	19	2001
New Lie superalgebras and mechanics. Zbl 0403.17002 Leites, D. A.	19	1977
The classification of almost affine (hyperbolic) Lie superalgebras. Zbl 1362.17044 Chapovalov, Danil; Chapovalov, Maxim; Lebedev, Alexei; Leites, Dimitry	18	2010
Simple Lie algebras in characteristic 2 recovered from superalgebras and on the notion of a simple finite group. Zbl 0765.17006 Kochetkov, Yuri; Leites, Dimitry A.	18	1992
New simple Lie algebras in characteristic 2. Zbl 1404.17026 Bouarroudj, Sofiane; Grozman, Pavel; Lebedev, Alexei; Leites, Dimitry; Shchepochkina, Irina	17	2016
Integral forms and the Stokes formula on supermanifolds. Zbl 0352.58004 Bernstein, I. N.; Leites, D. A.	17	1977
Defining relations for Lie superalgebras with Cartan matrix. Zbl 0979.17002 Grozman, Pavel; Leites, Dimitry	17	2001
Simple vectorial Lie algebras in characteristic 2 and their superizations. Zbl 1476.17014 Bouarroudj, Sofiane; Grozman, Pavel; Lebedev, Alexei; Leites, Dimitry; Shchepochkina, Irina	16	2020
Cohomology of Lie superalgebras. Zbl 0352.17007 Leites, D. A.	16	1976
New simple modular Lie superalgebras as generalized prolongs. Zbl 1160.17012 Bouarroudj, S.; Grozman, P. Ya.; Leites, D. A.	16	2008
Spectra of graded commutative rings. (Spektra graduiert-kommutativer Ringe.) Zbl 0326.14001 Leites, D. A.	14	1974
Non-degenerate invariant (super)symmetric bilinear forms on simple Lie (super)algebras. Zbl 1421.17003 Bouarroudj, Sofiane; Krutov, Andrey; Leites, Dimitry; Shchepochkina, Irina	13	2018
Integral forms and the Stokes formula on supermanifolds. Zbl 0369.58005 Bernstein, I. N.; Leites, D. A.	13	1977
Solutions of the classical Yang-Baxter equation for simple superalgebras. Zbl 0537.22014 Leites, D. A.; Serganova, V. V.	13	1984
Lie algebra deformations in characteristic 2. Zbl 1361.17016 Bouarroudj, Sofiane; Lebedev, Alexei; Leites, Dimitry; Shchepochkina, Irina	12	2015
Minkowski superspaces and superstrings as almost real-complex supermanifolds. Zbl 1282.81142 Bouarroudj, S.; Grozman, P. Ya.; Leites, D. A.; Shchepochkina, I. M.	12	2012
Mathematica-aided study of Lie algebras and their cohomology – from supergravity to ballbearings and magnetic hydrodynamics. Zbl 1059.17500 Grozman, P.; Leites, D.	12	1997
On Einstein equations on manifolds and supermanifolds. Zbl 1009.35085 Leites, D.; Poletaeva, E.; Serganova, V.	12	2002
How to integrate differential forms on supermanifolds. Zbl 0364.58005 Bernstein, I. N.; Leites, D. A.	12	1977
Invariant differential operators and irreducible representations of Lie superalgebras of vector fields. Zbl 0517.17001 Bernshtein, I. N.; Leites, D. A.	12	1981
Structures of \(G(2)\) type and nonintegrable distributions in characteristic \(p\). Zbl 1146.17014 Grozman, Pavel; Leites, Dimitry	12	2005
Embedding of \(\text{osp}(n/2)\) and the associated nonlinear supersymmetric equations. Zbl 0664.17015 Leites, Dimitry A.; Savel’ev, M. V.; Serganova, V. V.	11	1986
Lie superalgebras. Zbl 0567.17003 Leĭtes, D. A.	11	1985
Towards classification of simple finite dimensional modular Lie superalgebras. Zbl 1172.17011 Leites, Dimitry	11	2007
Quivers and Lie superalgebras. Zbl 0944.17005 Leites, D.; Shchepochkina, I.	10	1997
Lie superalgebras of supermatrices of complex size. Their generalization and related integrable systems. Zbl 0996.17003 Grozman, P.; Leites, D.	10	2000
Examples of simple infinite dimensional Lie superalgebras of vector fields. Zbl 0457.17005 Alekseevskii, D. V.; Leites, D. A.; Shchepochkina, I. M.	10	1980
Simple Lie superalgebras and nonintegrable distributions in characteristic \(p\). Zbl 1104.17011 Bouarroudj, S.; Leites, D.	10	2006
The superalgebra \(Q(n)\), the odd trace and the odd determinant. Zbl 0494.17002 Bernshtein, I. N.; Leites, D. A.	10	1982
New invariant differential operators on supermanifolds and pseudo- (co)homology. Zbl 0773.58004 Leites, Dimitry A.; Kochetkov, Yuri; Weintrob, Arkady	9	1991
Metasymmetry and Volichenko algebras. Zbl 0753.17006 Leites, Dimitry A.; Serganova, V.	9	1990
Integration of differential forms on supermanifolds. Zbl 0423.58003 Bernshtein, I. N.; Leites, D. A.	9	1978
Formulas for the characters of irreducible finite-dimensional representations of simple Lie superalgebras. Zbl 0443.17004 Leites, D. A.	9	1980
Restricted Lie (super)algebras in characteristic 3. Zbl 1420.17020 Bouarroudj, S.; Krutov, A. O.; Lebedev, A. V.; Leites, D. A.; Shchepochkina, I. M.	8	2018
Classical superspaces and related structures. Zbl 0752.53016 Leites, Dimitry A.; Serganova, V.; Vinel, G.	7	1991
Computer-aided study of double extensions of restricted Lie superalgebras preserving the nondegenerate closed 2-forms in characteristic 2. Zbl 1498.17034 Bouarroudj, Sofiane; Leites, Dimitry; Shang, Jin	7	2022
Defining relations for classical Lie superalgebras without Cartan matrices. Zbl 0995.17010 Grozman, P.; Leites, D.; Poletaeva, E.	7	2002
Lie superalgebra structures in \(C^{\bullet} (\mathfrak n; \mathfrak n)\) and \(H^{\bullet}(\mathfrak n, \mathfrak n)\). Zbl 1106.17025 Lebedev, Alexei; Leites, Dimitry; Shereshevskii, Ilya	7	2005
Selected problems of supermanifold theory. Zbl 0646.58012 Leites, Dimitry A.	7	1987
Symmetries wider than supersymmetry. Zbl 1248.17015 Leites, Dimitry; Serganova, Vera	7	2001
The roots of exceptional modular Lie superalgebras with Cartan matrix. Zbl 1450.17006 Bouarroudj, Sofiane; Leites, Dimitry; Lozhechnyk, Olexander; Shang, Jin	7	2020
Representations of Lie superalgebras. Zbl 0503.17002 Leites, D. A.	7	1983
Character formulas of irreducible finite-dimensional representations of simple Lie superalgebras. Zbl 0431.17005 Leites, D. A.	7	1980
Toward classification of classical Lie superalgebras. Zbl 1210.17008 Leĭtes, D.	6	1990
Defining relations associated with principal \({\mathfrak sl}(2)\)-subalgebras. Zbl 0854.17005 Grozman, P.; Leites, D.	6	1996
Nondegenerate invariant symmetric bilinear forms on simple Lie superalgebras in characteristic 2. Zbl 1511.17019 Krutov, Andrey; Lebedev, Alexei; Leites, Dimitry; Shchepochkina, Irina	6	2022
Defining relations for classical Lie superalgebras. I: Superalgebras with Cartan matrix or Dynkin-type diagram. Zbl 1102.17302 Leĭtes, D.; Serganova, V.	6	1992
The Riemann tensor for nonholonomic manifolds. Zbl 1015.53012 Leites, Dimitry	6	2002
Orthogonal polynomials of a discrete variable and Lie algebras of matrices of complex order. Zbl 1017.17021 Leites, D. A.; Sergeev, A. N.	6	2000
Invariant differential operators and irreducible representations of Lie superalgebras of vector fields. Zbl 0506.17003 Bernshteĭn, I. N.; Leites, D. A.	6	1981
Irreducible representations of finite-dimensional Lie superalgebras of type \(W\). Zbl 0535.17002 Bernshtein, I. N.; Leites, D. A.	6	1984
A formula for the characters of finite dimensional irreducible representations of Lie superalgebras of the series \(C\). Zbl 0457.17003 Leites, D. A.	6	1980
Nonholonomic Riemann and Weyl tensors for flag manifolds. Zbl 1141.17019 Grozman, P. Ya.; Leites, D. A.	6	2007
Invariant differential operators in positive characteristic. Zbl 1425.17026 Bouarroudj, Sofiane; Leites, Dimitry	5	2018
Defining relations for classical Lie algebras of polynomial vector fields. Zbl 0893.17003 Leites, D.; Poletaeva, E.	5	1997
Supergravities and contact type structures on supermanifolds. Zbl 0847.58008 Leites, D.; Poletaeva, E.	5	1995
Classification of simple Lie superalgebras in characteristic 2. Zbl 1523.17010 Bouarroudj, Sofiane; Lebedev, Alexei; Leites, Dimitry; Shchepochkina, Irina	5	2023
New Lie superalgebras of string theories. Zbl 0606.17002 Leites, D. A.; Feigin, B. L.	5	1983
The Howe duality and Lie superalgebras. Zbl 1248.17004 Leites, Dimitry; Shchepochkina, Irina	5	2001
Prolongs of (ortho-)orthogonal Lie (super)algebras in characteristic 2. Zbl 1362.17029 Iyer, Uma N.; Lebedev, Alexei; Leites, Dimitry	4	2010
Integrable systems and Lie superalgebras. Zbl 0556.58014 Leites, D. A.; Semenov-Tian-Shansky, M. A.	4	1985
Irreducible representations of finite-dimensional Lie superalgebras of the series \(W\). Zbl 0443.17003 Bernshtein, I. N.; Leites, D. A.	4	1979
Inverses of Cartan matrices of Lie algebras and Lie superalgebras. Zbl 1464.17023 Leites, Dimitry; Lozhechnyk, Oleksandr	3	2019
The Poincaré series of the hyperbolic Coxeter groups with finite volume of fundamental domains. Zbl 1362.20034 Chapovalov, Maxim; Leites, Dimitry; Stekolshchik, Rafael	3	2010
Defining relations for the exceptional Lie superalgebras of vector fields. Zbl 1080.17013 Grozman, Pavel; Leites, Dimitry; Shchepochkina, Irina	3	2003
Manin-Olshansky triples for Lie superalgebras. Zbl 1015.17022 Leites, Dimitry; Shapovalov, Alexander	3	2000
Analogues of the Riemannian structure for classical superspaces. Zbl 0795.53047 Leites, Dimitry A.; Poletaeva, E.	3	1992
Deformations of symmetric simple modular Lie (super)algebras. Zbl 1529.17031 Bouarroudj, Sofiane; Grozman, Pavel; Leites, Dimitry	3	2023
The Shapovalov determinant for the Poisson superalgebras. Zbl 1049.17004 Grozman, Pavel; Leites, Dimitry	3	2001
Kac-Moody superalgebras. Zbl 0606.17003 Leites, D. A.; Serganova, V. V.; Feigin, B. L.	3	1983
An unconventional supergravity. Zbl 1248.83139 Grozman, Pavel; Leites, Dimitry	3	2001
Irreducible representations of Lie superalgebras of vector fields and invariant differential operators. Zbl 0493.58023 Leites, D. A.	3	1982
On realizations of the Steenrod algebras. Zbl 1143.55011 Lebedev, Alexei; Leites, Dimitry	3	2006
Lie superalgebra structures in \(H^\bullet(g;g)\). Zbl 1465.17019 Grozman, Pavel; Leites, Dimitry	3	2004
Two problems in the theory of differential equations. Zbl 1429.58006 Leites, D. A.	2	2019
Defining relations of almost affine (hyperbolic) Lie superalgebras. Zbl 1362.17043 Bouarroudj, Sofian; Grozman, Pavel; Leites, Dimitry	2	2010
The highest weight representations of the contact Lie superalgebra on \(1\|6\)-dimensional supercircle. Zbl 0942.17001 Grozman, P.; Leites, D.	2	1997
Derivations and central extensions of symmetric modular Lie algebras and superalgebras (with an appendix by Andrey Krutov). Zbl 1529.17030 Bouarroudj, Sofiane; Grozman, Pavel; Lebedev, Alexei; Leites, Dimitry	2	2023
Realization of Lie algebras and superalgebras in terms of creation and annihilation operators. I. Zbl 1112.17301 Burdík, Č.; Grozman, P.; Leites, D.; Sergeev, A.	2	2000
Supersymmetry of the Sturm-Liouville and Korteweg-de Vries operators. Zbl 1033.37037 Leites, Dimitry	2	2002
Representations of Lie superalgebras. Zbl 0497.17001 Leites, D. A.	2	1982
Clifford algebras as superalgebras and quantization. Zbl 0535.58029 Leĭtes, D. A.	2	1984
A certain analogue of the determinant. Zbl 0335.15011 Leĭtes, D. A.	2	1975
Automorphisms and real forms of simple Lie superalgebras of formal vector fields. Zbl 0578.17003 Leĭtes, D. A.	2	1983
On critical dimensions of string theories. Zbl 1134.81399 Leites, Dimitry; Sachse, Christoph	2	2007
Irreducible representations of finite-dimensional Lie superalgebras of series W and S. Zbl 0408.17002 Bernstein, J. N.; Leites, D. A.	2	1979
Arkady Onishchik: on his life and work on supersymmetry. Zbl 07897673 Leites, Dimitry	2	2022
Examples of simple vectorial Lie algebras in characteristic 2. Zbl 1362.17030 Iyer, Uma N.; Leites, Dimitry; Messaoudene, Mohamed; Shchepochkina, Irina	1	2010
Classification of simple Lie superalgebras in characteristic 2. Zbl 1523.17010 Bouarroudj, Sofiane; Lebedev, Alexei; Leites, Dimitry; Shchepochkina, Irina	5	2023
Deformations of symmetric simple modular Lie (super)algebras. Zbl 1529.17031 Bouarroudj, Sofiane; Grozman, Pavel; Leites, Dimitry	3	2023
Derivations and central extensions of symmetric modular Lie algebras and superalgebras (with an appendix by Andrey Krutov). Zbl 1529.17030 Bouarroudj, Sofiane; Grozman, Pavel; Lebedev, Alexei; Leites, Dimitry	2	2023
On odd parameters in geometry. Zbl 1527.58002 Leites, Dimitry	1	2023
Computer-aided study of double extensions of restricted Lie superalgebras preserving the nondegenerate closed 2-forms in characteristic 2. Zbl 1498.17034 Bouarroudj, Sofiane; Leites, Dimitry; Shang, Jin	7	2022
Nondegenerate invariant symmetric bilinear forms on simple Lie superalgebras in characteristic 2. Zbl 1511.17019 Krutov, Andrey; Lebedev, Alexei; Leites, Dimitry; Shchepochkina, Irina	6	2022
Arkady Onishchik: on his life and work on supersymmetry. Zbl 07897673 Leites, Dimitry	2	2022
Analogs of Bol operators on superstrings. Zbl 1506.17008 Bouarroudj, Sofiane; Leites, Dimitry; Shchepochkina, Irina	1	2022
Analogs of Bol operators for \(\mathfrak{pgl}(a+1\mid b)\subset\mathfrak{vect}(a\mid b)\). Zbl 1518.17009 Bouarroudj, Sofiane; Leites, Dimitry; Shchepochkina, Irina	1	2022
New simple Lie superalgebras as queerified associative algebras. Zbl 07798948 Leites, Dimitry	1	2022
Simple vectorial Lie algebras in characteristic 2 and their superizations. Zbl 1476.17014 Bouarroudj, Sofiane; Grozman, Pavel; Lebedev, Alexei; Leites, Dimitry; Shchepochkina, Irina	16	2020
The roots of exceptional modular Lie superalgebras with Cartan matrix. Zbl 1450.17006 Bouarroudj, Sofiane; Leites, Dimitry; Lozhechnyk, Olexander; Shang, Jin	7	2020
Arkadii L’vovich Onishchik. Zbl 1453.01017 Akhiezer, D. N.; Vinberg, É. B.; Gorbatsevich, V. V.; Kazarin, L. S.; Leites, D. A.; Lukatskii, A. M.; Shchetinin, A. N.	1	2020
Inverses of Cartan matrices of Lie algebras and Lie superalgebras. Zbl 1464.17023 Leites, Dimitry; Lozhechnyk, Oleksandr	3	2019
Two problems in the theory of differential equations. Zbl 1429.58006 Leites, D. A.	2	2019
Non-degenerate invariant (super)symmetric bilinear forms on simple Lie (super)algebras. Zbl 1421.17003 Bouarroudj, Sofiane; Krutov, Andrey; Leites, Dimitry; Shchepochkina, Irina	13	2018
Restricted Lie (super)algebras in characteristic 3. Zbl 1420.17020 Bouarroudj, S.; Krutov, A. O.; Lebedev, A. V.; Leites, D. A.; Shchepochkina, I. M.	8	2018
Invariant differential operators in positive characteristic. Zbl 1425.17026 Bouarroudj, Sofiane; Leites, Dimitry	5	2018
New simple Lie algebras in characteristic 2. Zbl 1404.17026 Bouarroudj, Sofiane; Grozman, Pavel; Lebedev, Alexei; Leites, Dimitry; Shchepochkina, Irina	17	2016
The Dzhumadildaev brackets: a hidden supersymmetry of commutators and the Amitsur-Levitzki-type identities. Zbl 1479.17014 Lebedev, A.; Leites, D.	1	2016
Lie algebra deformations in characteristic 2. Zbl 1361.17016 Bouarroudj, Sofiane; Lebedev, Alexei; Leites, Dimitry; Shchepochkina, Irina	12	2015
Minkowski superspaces and superstrings as almost real-complex supermanifolds. Zbl 1282.81142 Bouarroudj, S.; Grozman, P. Ya.; Leites, D. A.; Shchepochkina, I. M.	12	2012
Divided power (co)homology. Presentations of simple finite dimensional modular Lie superalgebras with Cartan matrix. Zbl 1200.17009 Bouarroudj, Sofiane; Grozman, Pavel; Lebedev, Alexei; Leites, Dimitry	23	2010
The classification of almost affine (hyperbolic) Lie superalgebras. Zbl 1362.17044 Chapovalov, Danil; Chapovalov, Maxim; Lebedev, Alexei; Leites, Dimitry	18	2010
Prolongs of (ortho-)orthogonal Lie (super)algebras in characteristic 2. Zbl 1362.17029 Iyer, Uma N.; Lebedev, Alexei; Leites, Dimitry	4	2010
The Poincaré series of the hyperbolic Coxeter groups with finite volume of fundamental domains. Zbl 1362.20034 Chapovalov, Maxim; Leites, Dimitry; Stekolshchik, Rafael	3	2010
Defining relations of almost affine (hyperbolic) Lie superalgebras. Zbl 1362.17043 Bouarroudj, Sofian; Grozman, Pavel; Leites, Dimitry	2	2010
Examples of simple vectorial Lie algebras in characteristic 2. Zbl 1362.17030 Iyer, Uma N.; Leites, Dimitry; Messaoudene, Mohamed; Shchepochkina, Irina	1	2010
Classification of finite dimensional modular Lie superalgebras with indecomposable Cartan matrix. Zbl 1220.17010 Bouarroudj, Sofiane; Grozman, Pavel; Leites, Dimitry	47	2009
New simple modular Lie superalgebras as generalized prolongs. Zbl 1160.17012 Bouarroudj, S.; Grozman, P. Ya.; Leites, D. A.	16	2008
Shapovalov determinant for loop superalgebras. Zbl 1155.81336 Lebedev, A. V.; Leites, D. A.	1	2008
Towards classification of simple finite dimensional modular Lie superalgebras. Zbl 1172.17011 Leites, Dimitry	11	2007
Nonholonomic Riemann and Weyl tensors for flag manifolds. Zbl 1141.17019 Grozman, P. Ya.; Leites, D. A.	6	2007
On critical dimensions of string theories. Zbl 1134.81399 Leites, Dimitry; Sachse, Christoph	2	2007
Simple Lie superalgebras and nonintegrable distributions in characteristic \(p\). Zbl 1104.17011 Bouarroudj, S.; Leites, D.	10	2006
On realizations of the Steenrod algebras. Zbl 1143.55011 Lebedev, Alexei; Leites, Dimitry	3	2006
Structures of \(G(2)\) type and nonintegrable distributions in characteristic \(p\). Zbl 1146.17014 Grozman, Pavel; Leites, Dimitry	12	2005
Lie superalgebra structures in \(C^{\bullet} (\mathfrak n; \mathfrak n)\) and \(H^{\bullet}(\mathfrak n, \mathfrak n)\). Zbl 1106.17025 Lebedev, Alexei; Leites, Dimitry; Shereshevskii, Ilya	7	2005
Lie superalgebra structures in \(H^\bullet(g;g)\). Zbl 1465.17019 Grozman, Pavel; Leites, Dimitry	3	2004
Defining relations for the exceptional Lie superalgebras of vector fields. Zbl 1080.17013 Grozman, Pavel; Leites, Dimitry; Shchepochkina, Irina	3	2003
Invariant operators on supermanifolds and standard models. Zbl 1037.58003 Grozman, Pavel; Leites, Dimitry; Shchepochkina, Irina	22	2002
On Einstein equations on manifolds and supermanifolds. Zbl 1009.35085 Leites, D.; Poletaeva, E.; Serganova, V.	12	2002
Defining relations for classical Lie superalgebras without Cartan matrices. Zbl 0995.17010 Grozman, P.; Leites, D.; Poletaeva, E.	7	2002
The Riemann tensor for nonholonomic manifolds. Zbl 1015.53012 Leites, Dimitry	6	2002
Supersymmetry of the Sturm-Liouville and Korteweg-de Vries operators. Zbl 1033.37037 Leites, Dimitry	2	2002
Lie superalgebras of string theories. Zbl 1061.17021 Grozman, Pavel; Leites, Dimitry; Shchepochkina, Irina	38	2001
How to quantize the antibracket. Zbl 1039.17025 Leites, D. A.; Shchepochkina, I. M.	19	2001
Defining relations for Lie superalgebras with Cartan matrix. Zbl 0979.17002 Grozman, Pavel; Leites, Dimitry	17	2001
Symmetries wider than supersymmetry. Zbl 1248.17015 Leites, Dimitry; Serganova, Vera	7	2001
The Howe duality and Lie superalgebras. Zbl 1248.17004 Leites, Dimitry; Shchepochkina, Irina	5	2001
The Shapovalov determinant for the Poisson superalgebras. Zbl 1049.17004 Grozman, Pavel; Leites, Dimitry	3	2001
An unconventional supergravity. Zbl 1248.83139 Grozman, Pavel; Leites, Dimitry	3	2001
Lie superalgebras of supermatrices of complex size. Their generalization and related integrable systems. Zbl 0996.17003 Grozman, P.; Leites, D.	10	2000
Orthogonal polynomials of a discrete variable and Lie algebras of matrices of complex order. Zbl 1017.17021 Leites, D. A.; Sergeev, A. N.	6	2000
Manin-Olshansky triples for Lie superalgebras. Zbl 1015.17022 Leites, Dimitry; Shapovalov, Alexander	3	2000
Realization of Lie algebras and superalgebras in terms of creation and annihilation operators. I. Zbl 1112.17301 Burdík, Č.; Grozman, P.; Leites, D.; Sergeev, A.	2	2000
How to superize Liouville equation. Zbl 0953.35127 Leites, Dimitry	1	2000
Mathematica-aided study of Lie algebras and their cohomology – from supergravity to ballbearings and magnetic hydrodynamics. Zbl 1059.17500 Grozman, P.; Leites, D.	12	1997
Quivers and Lie superalgebras. Zbl 0944.17005 Leites, D.; Shchepochkina, I.	10	1997
Defining relations for classical Lie algebras of polynomial vector fields. Zbl 0893.17003 Leites, D.; Poletaeva, E.	5	1997
The highest weight representations of the contact Lie superalgebra on \(1\|6\)-dimensional supercircle. Zbl 0942.17001 Grozman, P.; Leites, D.	2	1997
Defining relations associated with principal \({\mathfrak sl}(2)\)-subalgebras. Zbl 0854.17005 Grozman, P.; Leites, D.	6	1996
Supergravities and contact type structures on supermanifolds. Zbl 0847.58008 Leites, D.; Poletaeva, E.	5	1995
Simple Lie algebras in characteristic 2 recovered from superalgebras and on the notion of a simple finite group. Zbl 0765.17006 Kochetkov, Yuri; Leites, Dimitry A.	18	1992
Defining relations for classical Lie superalgebras. I: Superalgebras with Cartan matrix or Dynkin-type diagram. Zbl 1102.17302 Leĭtes, D.; Serganova, V.	6	1992
Analogues of the Riemannian structure for classical superspaces. Zbl 0795.53047 Leites, Dimitry A.; Poletaeva, E.	3	1992
On the defining relations of quantum superalgebras. Zbl 0736.17015 Floreanini, Roberto; Leites, Dimitry A.; Vinet, Luc	29	1991
New invariant differential operators on supermanifolds and pseudo- (co)homology. Zbl 0773.58004 Leites, Dimitry A.; Kochetkov, Yuri; Weintrob, Arkady	9	1991
Classical superspaces and related structures. Zbl 0752.53016 Leites, Dimitry A.; Serganova, V.; Vinel, G.	7	1991
Models of representations of some classical supergroups. Zbl 0712.22013 Leites, Dimitry A.; Serganova, V.	1	1991
Metasymmetry and Volichenko algebras. Zbl 0753.17006 Leites, Dimitry A.; Serganova, V.	9	1990
Toward classification of classical Lie superalgebras. Zbl 1210.17008 Leĭtes, D.	6	1990
Cohomology to compute. Zbl 0678.17001 Leites, Dimitry A.; Post, G.	1	1989
Introduction to superanalysis. Ed. by A. A. Kirillov. Transl. from the Russian by J. Niederle and R. Kotecký, ed. and rev. by Dimitri Leites. Zbl 0659.58001 Berezin, Feliks Aleksandrovich	195	1987
Selected problems of supermanifold theory. Zbl 0646.58012 Leites, Dimitry A.	7	1987
Embedding of \(\text{osp}(n/2)\) and the associated nonlinear supersymmetric equations. Zbl 0664.17015 Leites, Dimitry A.; Savel’ev, M. V.; Serganova, V. V.	11	1986
Lie superalgebras. Zbl 0567.17003 Leĭtes, D. A.	11	1985
Integrable systems and Lie superalgebras. Zbl 0556.58014 Leites, D. A.; Semenov-Tian-Shansky, M. A.	4	1985
Cohomology of Lie superalgebras. Zbl 0586.17005 Fuks, D. B.; Leites, D. A.	25	1984
Solutions of the classical Yang-Baxter equation for simple superalgebras. Zbl 0537.22014 Leites, D. A.; Serganova, V. V.	13	1984
Irreducible representations of finite-dimensional Lie superalgebras of type \(W\). Zbl 0535.17002 Bernshtein, I. N.; Leites, D. A.	6	1984
Clifford algebras as superalgebras and quantization. Zbl 0535.58029 Leĭtes, D. A.	2	1984
Clifford algebras as superalgebras and quantization. Zbl 0572.17002 Leites, D. A.	1	1984
Theory of supermanifolds. (Теория многообразии.) Zbl 0599.58001 Leites, D. A.	37	1983
Representations of Lie superalgebras. Zbl 0503.17002 Leites, D. A.	7	1983
New Lie superalgebras of string theories. Zbl 0606.17002 Leites, D. A.; Feigin, B. L.	5	1983
Kac-Moody superalgebras. Zbl 0606.17003 Leites, D. A.; Serganova, V. V.; Feigin, B. L.	3	1983
Automorphisms and real forms of simple Lie superalgebras of formal vector fields. Zbl 0578.17003 Leĭtes, D. A.	2	1983
Integrable systems and Lie superalgebras. Zbl 0526.58025 Leites, D. A.; Semenov-Tian-Shansky, M. A.	1	1983
The superalgebra \(Q(n)\), the odd trace and the odd determinant. Zbl 0494.17002 Bernshtein, I. N.; Leites, D. A.	10	1982
Irreducible representations of Lie superalgebras of vector fields and invariant differential operators. Zbl 0493.58023 Leites, D. A.	3	1982
Representations of Lie superalgebras. Zbl 0497.17001 Leites, D. A.	2	1982
Invariant differential operators and irreducible representations of Lie super algebras of divergence free vector fields. Zbl 0529.17002 Leites, D. A.	1	1982
Invariant differential operators and irreducible representations of Lie superalgebras of vector fields. Zbl 0517.17001 Bernshtein, I. N.; Leites, D. A.	12	1981
Invariant differential operators and irreducible representations of Lie superalgebras of vector fields. Zbl 0506.17003 Bernshteĭn, I. N.; Leites, D. A.	6	1981
Feliks Aleksandrovich Berezin. Obituary. Zbl 0465.01008 Bogolyubov, N. N.; Gel’fand, I. M.; Dobrushin, R. L.; Kirillov, A. A.; Krein, M. G.; Leites, D. A.; Minlos, R. A.; Sinai, Ya. G.; Shubin, M. A.	1	1981
Introduction to the theory of supermanifolds. Zbl 0462.58002 Leites, D. A.	176	1980
Introduction to the theory of supermanifolds. Zbl 0439.58007 Leites, D. A.	78	1980
A formula for the characters of finite dimensional irreducible representations of Lie superalgebras of the series \(\text{Gl}\) and \(\text{sl}\). Zbl 0457.17002 Bernshtein, I. N.; Leites, D. A.	26	1980
Examples of simple infinite dimensional Lie superalgebras of vector fields. Zbl 0457.17005 Alekseevskii, D. V.; Leites, D. A.; Shchepochkina, I. M.	10	1980
...and 14 more Documents

all cited Publications top 5 cited Publications

all top 5

Cited by 523 Authors

33	Leites, Dimitry A.
21	Bouarroudj, Sofiane
12	Liu, Wende
11	Lebedev, Aleksei Vital’evich
11	Zhang, Yongzheng
10	Tyutin, Igor Viktorovich
10	Zhang, Ruibin
9	Serganova, Vera V.
8	Grozman, Pavel
7	Bruce, Andrew James
7	Cheng, Shun-Jen
7	Krutov, Andrey Olegovich
7	Penkov, Ivan B.
7	Shchepochkina, Irina
7	Zusmanovich, Pasha
6	Ben Fraj, Nizar
6	Fioresi, Rita
6	Pestov, Vladimir G.
6	Santi, Andrea
6	Su, Yucai
5	Duplij, Steven
5	Groeger, Josua
5	Lavrov, Petr M.
5	Martínez López, Consuelo
5	Ovsienko, Valentin Yu.
5	Poncin, Norbert
5	Shchepochkina, I. M.
5	Shu, Bin
5	Van der Jeugt, Joris
5	Zheng, Keli
4	Alldridge, Alexander
4	Azizpour, Esmaeil
4	Benayadi, Saïd
4	Brundan, Jonathan
4	Cariñena, José F.
4	Carmeli, Claudio
4	Galaev, Anton S.
4	Grabowski, Janusz
4	Grassi, Pietro Antonio
4	Ikeda, Kaoru
4	Iyer, Uma N.
4	Khalfoun, Hafedh
4	Kwok, Stephen Diwen
4	Laraiedh, Ismail
4	Maeda, Yoshiaki
4	Monterde, Juan
4	Omri, Salem
4	Onishchik, Arkadiĭ L’vovich
4	Poletaeva, Elena
4	Sergeev, Aleksandr Nikolaevich
4	Stoilova, Nedjalka I.
4	Zel’manov, Efim Isaakovich
3	Abdaoui, Meher
3	Barannikov, Serguei Aleksandrovich
3	Bashkin, Mikhail
3	Ben Ammar, Mabrouk
3	Bettadapura, Kowshik
3	Bruzzo, Ugo
3	Campoamor-Stursberg, Rutwig
3	Chen, Liangyun
3	Covolo, Tiffany
3	Cremonini, Carlo Alberto
3	El Gradechi, Amine M.
3	Elduque, Alberto
3	Figueroa, Héctor
3	Gargoubi, Hichem
3	Geer, Nathan
3	Gorelik, Maria
3	Grozman, P. Ya.
3	Kulish, Petr Petrovich
3	Mathonet, Pierre
3	Noja, Simone
3	Oviaño García, Francisco
3	Palev, Tchavdar D.
3	Petrogradsky, Victor Mikhaylovich
3	Radchenko, Olga V.
3	Sánchez Valenzuela, Oscar Adolfo
3	Schwarz, Albert S.
3	Smirnov, Alexander G.
3	The, Dennis
3	Vallejo, José Antonio
3	Varadarajan, Veeravalli S.
3	Vishnyakova, E. G.
3	Voronov, Theodore
3	Wang, Shujuan
3	Wang, Weiqiang
3	Xu, Xiaoning
3	Yang, Yong
3	Zou, Yiming
2	Akin, Kaan
2	Andruskiewitsch, Nicolás
2	Barreiro, Elisabete
2	Basdouri, Imed
2	Batalin, Igor A.
2	Bazhanov, Vladimir V.
2	Benkart, Georgia McClure
2	Boujelben, Jamel
2	Cantarini, Nicoletta
2	Catenacci, Roberto
2	Chapovalov, Maxim
...and 423 more Authors

all top 5

Cited in 122 Serials

51	Journal of Mathematical Physics
42	Journal of Geometry and Physics
33	Journal of Algebra
27	Communications in Mathematical Physics
25	Letters in Mathematical Physics
23	Journal of Nonlinear Mathematical Physics
19	Theoretical and Mathematical Physics
14	Nuclear Physics. B
14	Functional Analysis and its Applications
13	Advances in Mathematics
12	International Journal of Geometric Methods in Modern Physics
11	Journal of Pure and Applied Algebra
11	Journal of High Energy Physics
11	Communications in Mathematics
10	Differential Geometry and its Applications
8	Journal of Soviet Mathematics
8	SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
7	Communications in Algebra
7	Linear Algebra and its Applications
7	Transformation Groups
6	Representation Theory
6	Algebras and Representation Theory
5	Mathematische Zeitschrift
5	Journal of Mathematical Sciences (New York)
5	Journal of Lie Theory
4	Reports on Mathematical Physics
4	Reviews in Mathematical Physics
3	International Journal of Modern Physics A
3	Mathematical Notes
3	Physics Letters. B
3	Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
3	Annales de l’Institut Fourier
3	Publications of the Research Institute for Mathematical Sciences, Kyoto University
3	Transactions of the American Mathematical Society
3	Acta Applicandae Mathematicae
3	Forum Mathematicum
3	International Journal of Algebra and Computation
3	Annales de l’Institut Henri Poincaré. Physique Théorique
3	Comptes Rendus. Mathématique. Académie des Sciences, Paris
3	Journal of Algebra and its Applications
2	Bulletin of the Australian Mathematical Society
2	Archivum Mathematicum
2	Czechoslovak Mathematical Journal
2	Duke Mathematical Journal
2	Inventiones Mathematicae
2	Monatshefte für Mathematik
2	European Journal of Combinatorics
2	Chinese Annals of Mathematics. Series B
2	Journal of Algebraic Combinatorics
2	Selecta Mathematica. New Series
2	Abstract and Applied Analysis
2	Journal of Dynamical and Control Systems
2	Communications in Contemporary Mathematics
2	Lobachevskii Journal of Mathematics
2	Frontiers of Mathematics in China
2	Journal of Physics A: Mathematical and Theoretical
2	Advances in Mathematical Physics
2	Arnold Mathematical Journal
1	Indian Journal of Pure & Applied Mathematics
1	International Journal of Theoretical Physics
1	Linear and Multilinear Algebra
1	Physics Letters. A
1	Algebra and Logic
1	Annali di Matematica Pura ed Applicata. Serie Quarta
1	Applied Mathematics and Computation
1	Colloquium Mathematicum
1	Journal of Functional Analysis
1	Journal of the Mathematical Society of Japan
1	Journal für die Reine und Angewandte Mathematik
1	Kodai Mathematical Journal
1	Manuscripta Mathematica
1	Mathematische Annalen
1	Pacific Journal of Mathematics
1	Proceedings of the American Mathematical Society
1	Rendiconti del Circolo Matemàtico di Palermo. Serie II
1	Siberian Mathematical Journal
1	Tôhoku Mathematical Journal. Second Series
1	Tokyo Journal of Mathematics
1	Note di Matematica
1	Acta Mathematica Hungarica
1	Annals of Global Analysis and Geometry
1	Revista Matemática Iberoamericana
1	Science in China. Series A
1	Annals of Physics
1	Expositiones Mathematicae
1	Indagationes Mathematicae. New Series
1	Russian Mathematics
1	Experimental Mathematics
1	Russian Journal of Mathematical Physics
1	Algebra Colloquium
1	Turkish Journal of Mathematics
1	Advances in Applied Clifford Algebras
1	Bulletin des Sciences Mathématiques
1	Doklady Mathematics
1	Taiwanese Journal of Mathematics
1	Acta Mathematica Sinica. English Series
1	Annales Henri Poincaré
1	Czechoslovak Journal of Physics
1	Journal of Zhejiang University. Science
1	Bulletin of the Malaysian Mathematical Sciences Society. Second Series
...and 22 more Serials

all top 5

Cited in 45 Fields

332	Nonassociative rings and algebras (17-XX)
173	Global analysis, analysis on manifolds (58-XX)
138	Quantum theory (81-XX)
97	Differential geometry (53-XX)
46	Associative rings and algebras (16-XX)
43	Algebraic geometry (14-XX)
37	Several complex variables and analytic spaces (32-XX)
36	Dynamical systems and ergodic theory (37-XX)
28	Functional analysis (46-XX)
27	Topological groups, Lie groups (22-XX)
26	Group theory and generalizations (20-XX)
25	Partial differential equations (35-XX)
20	Relativity and gravitational theory (83-XX)
14	Mechanics of particles and systems (70-XX)
12	Category theory; homological algebra (18-XX)
11	Combinatorics (05-XX)
9	Linear and multilinear algebra; matrix theory (15-XX)
9	Algebraic topology (55-XX)
8	Commutative algebra (13-XX)
7	Manifolds and cell complexes (57-XX)
5	Functions of a complex variable (30-XX)
5	Statistical mechanics, structure of matter (82-XX)
4	Operator theory (47-XX)
3	Number theory (11-XX)
2	Measure and integration (28-XX)
2	Ordinary differential equations (34-XX)
2	Calculus of variations and optimal control; optimization (49-XX)
2	General topology (54-XX)
2	Computer science (68-XX)
2	Systems theory; control (93-XX)
1	General and overarching topics; collections (00-XX)
1	History and biography (01-XX)
1	Mathematical logic and foundations (03-XX)
1	\(K\)-theory (19-XX)
1	Real functions (26-XX)
1	Difference and functional equations (39-XX)
1	Sequences, series, summability (40-XX)
1	Abstract harmonic analysis (43-XX)
1	Geometry (51-XX)
1	Convex and discrete geometry (52-XX)
1	Probability theory and stochastic processes (60-XX)
1	Mechanics of deformable solids (74-XX)
1	Fluid mechanics (76-XX)
1	Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1	Information and communication theory, circuits (94-XX)

Leites, Dimitry A.

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Cited by 523 Authors

Cited in 122 Serials

Cited in 45 Fields

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