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Rybnikov, Leonid Grigor’evich

Co-Author Distance
Author ID: rybnikov.leonid-g Recent zbMATH articles by "Rybnikov, Leonid Grigor’evich"
Published as: Rybnikov, Leonid; Rybnikov, L. G.; Rybnikov, L.
Homepage: https://www.hse.ru/en/org/persons/10023276
External Links: MGP · ORCID · Math-Net.Ru
Documents Indexed: 39 Publications since 2003, including 7 Additional arXiv Preprints
1 Contribution as Editor
Co-Authors: 34 Co-Authors with 30 Joint Publications
1,004 Co-Co-Authors
all top 5

Co-Authors

10 single-authored
7 Finkelberg, Michael Vladlenovich
6 Feĭgin, Boris L’vovich
6 Ilin, Aleksei
4 Chervov, Alexander Viktorovich
4 Kamnitzer, Joel
2 Etingof, Pavel Il’ich
2 Falqui, Gregorio
2 Frenkel, Edward V.
2 Gusein-Zade, Sabir M.
2 Il’yashenko, Yuliĭ Sergeevich
2 Krylov, Vasily
2 Loktev, Sergey A.
2 Mashanova-Golikova, Inna
2 Tsfasman, Michael A.
2 Weekes, Alex
2 Zavalin, Mikhail
1 Arzhantsev, Ivan Vladimirovich
1 Braverman, Alexander
1 Dobrovolska, Galyna
1 Frenkel, Igor B.
1 Glutsyuk, Alexey A.
1 Halacheva, Iva
1 Kirillov, Alexandre Aleksandrovich
1 Kuznetsov, Aleksandr Gennad’evich
1 Lando, Sergei K.
1 Negut, Andrei
1 Oblomkov, Alexei A.
1 Pham, Khoa
1 Przytycki, Piotr
1 Schwarzman, Ossip
1 Talalaev, Dmitry V.
1 Timashev, Dmitri A.
1 Uvarov, Filipp
1 Vasil’ev, Viktor Anatol’evich
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Serials

5 Letters in Mathematical Physics
3 Selecta Mathematica. New Series
3 Transformation Groups
2 Communications in Mathematical Physics
2 Russian Mathematical Surveys
2 Duke Mathematical Journal
2 Functional Analysis and its Applications
2 IMRN. International Mathematics Research Notices
2 Moscow Mathematical Journal
1 Nonlinearity
1 Reports on Mathematical Physics
1 Advances in Mathematics
1 Journal of the European Mathematical Society (JEMS)
1 EJTP. Electronic Journal of Theoretical Physics
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Algebraic Geometry
1 Arnold Mathematical Journal
all top 5

Fields

24 Nonassociative rings and algebras (17-XX)
8 Algebraic geometry (14-XX)
7 Topological groups, Lie groups (22-XX)
7 Quantum theory (81-XX)
7 Statistical mechanics, structure of matter (82-XX)
5 Differential geometry (53-XX)
4 Dynamical systems and ergodic theory (37-XX)
2 History and biography (01-XX)
2 Associative rings and algebras (16-XX)
2 Ordinary differential equations (34-XX)
2 Abstract harmonic analysis (43-XX)
1 Commutative algebra (13-XX)
1 \(K\)-theory (19-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

24 Publications have been cited 304 times in 191 Documents Cited by ▼ Year ▼
Yangians and cohomology rings of Laumon spaces. Zbl 1260.14015
Feigin, Boris; Finkelberg, Michael; Negut, Andrei; Rybnikov, Leonid
39
2011
The argument shift method and the Gaudin model. Zbl 1112.17018
Rybnikov, L. G.
39
2006
A finite analog of the AGT relation. I: Finite \(W\)-algebras and quasimaps’ spaces. Zbl 1247.81169
Braverman, Alexander; Feigin, Boris; Finkelberg, Michael; Rybnikov, Leonid
37
2011
Opers with irregular singularity and spectra of the shift of argument subalgebra. Zbl 1226.22017
Feigin, Boris; Frenkel, Edward; Rybnikov, Leonid
33
2010
Quantization of Drinfeld Zastava in type \(A\). Zbl 1287.14024
Finkelberg, Michael; Rybnikov, Leonid
26
2014
Comultiplication for shifted Yangians and quantum open Toda lattice. Zbl 1384.81045
Finkelberg, Michael; Kamnitzer, Joel; Pham, Khoa; Rybnikov, Leonid; Weekes, Alex
22
2018
Crystals and monodromy of Bethe vectors. Zbl 1468.17013
Halacheva, Iva; Kamnitzer, Joel; Rybnikov, Leonid; Weekes, Alex
14
2020
Cactus group and monodromy of Bethe vectors. Zbl 1458.17009
Rybnikov, Leonid
12
2018
Centralizers of some quadratic elements in Poisson-Lie algebras and a method for the translation of invariants. Zbl 1142.17306
Rybnikov, L. G.
12
2005
A proof of the Gaudin Bethe ansatz conjecture. Zbl 1460.37057
Rybnikov, Leonid
11
2020
Uniqueness of higher Gaudin Hamiltonians. Zbl 1178.17012
Rybnikov, L. G.
10
2008
Limits of Gaudin algebras, quantization of bending flows, Jucys-Murphy elements and Gelfand-Tsetlin bases. Zbl 1275.17026
Chervov, Alexander; Falqui, Gregorio; Rybnikov, Leonid
9
2010
Gelfand-Tsetlin algebras and cohomology rings of Laumon spaces. Zbl 1285.14011
Feigin, Boris; Finkelberg, Michael; Frenkel, Igor; Rybnikov, Leonid
7
2011
Towards a cluster structure on trigonometric zastava. Zbl 1423.13122
Finkelberg, Michael; Kuznetsov, Alexander; Rybnikov, Leonid; Dobrovolska, Galyna
5
2018
Degeneration of Bethe subalgebras in the Yangian of \(\mathfrak {gl}_n\). Zbl 1390.17026
Ilin, Aleksei; Rybnikov, Leonid
5
2018
Bethe subalgebras in Yangians and the wonderful compactification. Zbl 1471.17023
Ilin, Aleksei; Rybnikov, Leonid
5
2019
On classical limits of Bethe subalgebras in Yangians. Zbl 1511.17065
Ilin, A.; Rybnikov, L.
4
2021
A Lie-theoretic construction of spherical symplectic reflection algebras. Zbl 1186.17006
Etingof, P.; Loktev, S.; Oblomkov, A.; Rybnikov, L.
4
2008
Limits of Gaudin systems: classical and quantum cases. Zbl 1160.82316
Chervov, Alexander; Falqui, Gregorio; Rybnikov, Leonid
3
2009
On families of differential equations on two-torus with all phase-lock areas. Zbl 1417.37160
Glutsyuk, Alexey; Rybnikov, Leonid
2
2017
Quantization of Drinfeld zastava in type C. Zbl 1329.19007
Finkelberg, Michael; Rybnikov, Leonid
2
2014
Deformation quantization of submanifolds and reductions via Duflo-Kirillov-Kontsevich map. Zbl 1153.81507
Chervov, Alexander; Rybnikov, Leonid
1
2007
On the endomorphisms of Weyl modules over affine Kac-Moody algebras at the critical level. Zbl 1169.81015
Feigin, Boris; Frenkel, Edward; Rybnikov, Leonid
1
2009
Weakly commutative homogeneous spaces with reductive stabilizer. Zbl 1076.22500
Rybnikov, L. G.
1
2004
On classical limits of Bethe subalgebras in Yangians. Zbl 1511.17065
Ilin, A.; Rybnikov, L.
4
2021
Crystals and monodromy of Bethe vectors. Zbl 1468.17013
Halacheva, Iva; Kamnitzer, Joel; Rybnikov, Leonid; Weekes, Alex
14
2020
A proof of the Gaudin Bethe ansatz conjecture. Zbl 1460.37057
Rybnikov, Leonid
11
2020
Bethe subalgebras in Yangians and the wonderful compactification. Zbl 1471.17023
Ilin, Aleksei; Rybnikov, Leonid
5
2019
Comultiplication for shifted Yangians and quantum open Toda lattice. Zbl 1384.81045
Finkelberg, Michael; Kamnitzer, Joel; Pham, Khoa; Rybnikov, Leonid; Weekes, Alex
22
2018
Cactus group and monodromy of Bethe vectors. Zbl 1458.17009
Rybnikov, Leonid
12
2018
Towards a cluster structure on trigonometric zastava. Zbl 1423.13122
Finkelberg, Michael; Kuznetsov, Alexander; Rybnikov, Leonid; Dobrovolska, Galyna
5
2018
Degeneration of Bethe subalgebras in the Yangian of \(\mathfrak {gl}_n\). Zbl 1390.17026
Ilin, Aleksei; Rybnikov, Leonid
5
2018
On families of differential equations on two-torus with all phase-lock areas. Zbl 1417.37160
Glutsyuk, Alexey; Rybnikov, Leonid
2
2017
Quantization of Drinfeld Zastava in type \(A\). Zbl 1287.14024
Finkelberg, Michael; Rybnikov, Leonid
26
2014
Quantization of Drinfeld zastava in type C. Zbl 1329.19007
Finkelberg, Michael; Rybnikov, Leonid
2
2014
Yangians and cohomology rings of Laumon spaces. Zbl 1260.14015
Feigin, Boris; Finkelberg, Michael; Negut, Andrei; Rybnikov, Leonid
39
2011
A finite analog of the AGT relation. I: Finite \(W\)-algebras and quasimaps’ spaces. Zbl 1247.81169
Braverman, Alexander; Feigin, Boris; Finkelberg, Michael; Rybnikov, Leonid
37
2011
Gelfand-Tsetlin algebras and cohomology rings of Laumon spaces. Zbl 1285.14011
Feigin, Boris; Finkelberg, Michael; Frenkel, Igor; Rybnikov, Leonid
7
2011
Opers with irregular singularity and spectra of the shift of argument subalgebra. Zbl 1226.22017
Feigin, Boris; Frenkel, Edward; Rybnikov, Leonid
33
2010
Limits of Gaudin algebras, quantization of bending flows, Jucys-Murphy elements and Gelfand-Tsetlin bases. Zbl 1275.17026
Chervov, Alexander; Falqui, Gregorio; Rybnikov, Leonid
9
2010
Limits of Gaudin systems: classical and quantum cases. Zbl 1160.82316
Chervov, Alexander; Falqui, Gregorio; Rybnikov, Leonid
3
2009
On the endomorphisms of Weyl modules over affine Kac-Moody algebras at the critical level. Zbl 1169.81015
Feigin, Boris; Frenkel, Edward; Rybnikov, Leonid
1
2009
Uniqueness of higher Gaudin Hamiltonians. Zbl 1178.17012
Rybnikov, L. G.
10
2008
A Lie-theoretic construction of spherical symplectic reflection algebras. Zbl 1186.17006
Etingof, P.; Loktev, S.; Oblomkov, A.; Rybnikov, L.
4
2008
Deformation quantization of submanifolds and reductions via Duflo-Kirillov-Kontsevich map. Zbl 1153.81507
Chervov, Alexander; Rybnikov, Leonid
1
2007
The argument shift method and the Gaudin model. Zbl 1112.17018
Rybnikov, L. G.
39
2006
Centralizers of some quadratic elements in Poisson-Lie algebras and a method for the translation of invariants. Zbl 1142.17306
Rybnikov, L. G.
12
2005
Weakly commutative homogeneous spaces with reductive stabilizer. Zbl 1076.22500
Rybnikov, L. G.
1
2004
all cited Publications top 5 cited Publications
all top 5

Cited by 226 Authors

15 Rybnikov, Leonid Grigor’evich
10 Feĭgin, Boris L’vovich
10 Finkelberg, Michael Vladlenovich
8 Molev, Alexander I.
8 Yakimova, Oksana S.
8 Young, Charles A. S.
7 Tsymbaliuk, Oleksandr
7 Vicedo, Benoît
7 Weekes, Alex
6 Kamnitzer, Joel
5 Kanno, Hiroaki
5 Kodera, Ryosuke
5 Mukhin, Evgeny
5 Tachikawa, Yuji
5 Yacobi, Oded
4 Awata, Hidetoshi
4 Frenkel, Edward V.
4 Ilin, Aleksei
4 Panyushev, Dmitri Ivanovich
4 Pestun, Vasily
4 Ueda, Mamoru
4 Webster, Ben
3 Braverman, Alexander
3 Halacheva, Iva
3 Lacroix, Sylvain
3 Manabe, Masahide
3 Mironov, Andrei D.
3 Nakajima, Hiraku
3 Schomerus, Volker
3 Wendlandt, Curtis
3 Wyllard, Niclas
3 Zeitlin, Anton M.
3 Zhang, Huafeng
2 Ashok, Sujay K.
2 Belavin, Vladimir A.
2 Billó, Marco
2 Bolsinov, Alexey V.
2 Bonelli, Giulio
2 Bourgine, Jean-Emile
2 Bullimore, Mathew Richard
2 Burić, Ilija
2 Chervov, Alexander Viktorovich
2 Cirafici, Michele
2 Crampé, Nicolas
2 Dedushenko, Mykola
2 Dell’aquila, Eleonora
2 Falqui, Gregorio
2 Foda, Omar
2 Frassek, Rouven
2 Frau, Marialuisa
2 Gaiotto, Davide
2 Gomis, Jaume
2 Gordon, Iain Grant
2 Guay, Nicolas
2 Hasegawa, Koji
2 Hilburn, Justin
2 Ikeda, Yasushi
2 Izosimov, Anton
2 Jing, Naihuan
2 John, Renjan Rajan
2 Kimura, Taro
2 Koroteev, Peter
2 Le Floch, Bruno
2 Lerda, Alberto
2 Losev, Ivan V.
2 Lu, Kang
2 Mann, Jeremy A.
2 Mashanova-Golikova, Inna
2 Morozov, Alexei Yurievich
2 Nekrasov, Nikita Alexandrovich
2 Ohkawa, Ryo
2 Pasquetti, Sara
2 Poulain D’Andecy, Loïc
2 Quintavalle, Lorenzo
2 Ragoucy, Eric
2 Rubtsov, Vladimir Nikolaevich
2 Sage, Daniel S.
2 Shakirov, Shamil
2 Shiraishi, Jun’ichi
2 Tanzini, Alessandro
2 Tarasov, Vitaly Olegovich
2 Tingley, Peter W.
2 Vinet, Luc
2 Yagi, Junya
2 Yamada, Yasuhiko
2 Yoshida, Yutaka
1 Aguirre, Leonardo
1 Alday, Luis Fernando
1 Alfimov, M. N.
1 Arakawa, Tomoyuki
1 Baek, Jong-Hyun
1 Bao, Jiakang
1 Bartocci, Claudio
1 Baseilhac, Stéphane
1 Benvenuti, Sergio
1 Berenstein, Arkady
1 Bittleston, Roland
1 Brinson, Ty J.
1 Brochier, Adrien
1 Carlsson, Erik
...and 126 more Authors
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Cited in 55 Serials

34 Journal of High Energy Physics
18 Communications in Mathematical Physics
12 Letters in Mathematical Physics
11 Advances in Mathematics
10 Selecta Mathematica. New Series
6 Journal of Geometry and Physics
6 Journal of Algebra
6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
4 Theoretical and Mathematical Physics
4 Transformation Groups
4 Arnold Mathematical Journal
3 Journal of Mathematical Physics
3 Nuclear Physics. B
3 Publications of the Research Institute for Mathematical Sciences, Kyoto University
3 Transactions of the Moscow Mathematical Society
3 Representation Theory
2 Compositio Mathematica
2 Duke Mathematical Journal
2 Functional Analysis and its Applications
2 Inventiones Mathematicae
2 Mathematische Zeitschrift
2 Proceedings of the London Mathematical Society. Third Series
2 Journal of the American Mathematical Society
2 Journal of the European Mathematical Society (JEMS)
2 Oberwolfach Reports
2 Journal of Physics A: Mathematical and Theoretical
1 International Journal of Modern Physics A
1 Reports on Mathematical Physics
1 Reviews in Mathematical Physics
1 Publications Mathématiques
1 Journal of the London Mathematical Society. Second Series
1 Manuscripta Mathematica
1 Mathematische Annalen
1 Memoirs of the American Mathematical Society
1 Osaka Journal of Mathematics
1 Advances in Applied Mathematics
1 Physica D
1 IMRN. International Mathematics Research Notices
1 Journal of Algebraic Combinatorics
1 Journal of Algebraic Geometry
1 The Electronic Journal of Combinatorics
1 Journal of Lie Theory
1 Bulletin des Sciences Mathématiques
1 Algebras and Representation Theory
1 Communications in Contemporary Mathematics
1 Annales Henri Poincaré
1 Journal of Statistical Mechanics: Theory and Experiment
1 Confluentes Mathematici
1 Kyoto Journal of Mathematics
1 Forum of Mathematics, Pi
1 Forum of Mathematics, Sigma
1 Journal of Mathematics
1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Journal of Combinatorial Algebra
1 Algebraic Combinatorics
all top 5

Cited in 28 Fields

106 Nonassociative rings and algebras (17-XX)
94 Quantum theory (81-XX)
61 Algebraic geometry (14-XX)
30 Associative rings and algebras (16-XX)
27 Statistical mechanics, structure of matter (82-XX)
20 Group theory and generalizations (20-XX)
16 Topological groups, Lie groups (22-XX)
10 Combinatorics (05-XX)
10 Dynamical systems and ergodic theory (37-XX)
8 Special functions (33-XX)
7 Differential geometry (53-XX)
6 Relativity and gravitational theory (83-XX)
5 Ordinary differential equations (34-XX)
4 \(K\)-theory (19-XX)
4 Partial differential equations (35-XX)
4 Mechanics of particles and systems (70-XX)
3 Commutative algebra (13-XX)
3 Category theory; homological algebra (18-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Manifolds and cell complexes (57-XX)
2 General and overarching topics; collections (00-XX)
2 Functions of a complex variable (30-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Measure and integration (28-XX)
1 Operator theory (47-XX)
1 Convex and discrete geometry (52-XX)
1 Numerical analysis (65-XX)
1 Optics, electromagnetic theory (78-XX)

Citations by Year