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Gromov, Nikolai A.

Co-Author Distance
Author ID: gromov.nikolai-a Recent zbMATH articles by "Gromov, Nikolai A."
Published as: Gromov, N. A.; Gromov, Nikolai A.
Documents Indexed: 64 Publications since 1978, including 7 Books and 14 Additional arXiv Preprints
1 Contribution as Editor
Co-Authors: 11 Co-Authors with 40 Joint Publications
245 Co-Co-Authors
all top 5

Co-Authors

25 single-authored
22 Kuratov, V. V.
18 Kostyakov, I. V.
9 Moskaliuk, Stepan S.
5 Man’ko, Vladimir Ivanovich
2 Ballesteros, Angel
2 del Olmo, Mariano A.
2 Herranz, Francisco José
2 Santander, Mariano
1 Efimov, Dmitry Borisovich
1 Kurator, V. V.
1 Smirnov, Yu. F.
all top 5

Serials

9 Journal of Mathematical Physics
7 Hadronic Journal
3 International Journal of Modern Physics A
2 Theoretical and Mathematical Physics
2 Journal of Physics A: Mathematical and General
2 Nuclear Physics. B. Proceedings Supplements
2 Vestnik Syktyvkarskogo Universiteta. Seriya 1. Matematika, Mekhanika, Informatika
1 International Journal of Theoretical Physics
1 Mathematical Notes
1 Matematicheskie Zametki
1 Teoreticheskaya i Matematicheskaya Fizika
1 Bulgarian Journal of Physics
1 Izvestiya Akademii Nauk BSSR. Seriya Fiziko-Matematicheskikh Nauk
1 Czechoslovak Journal of Physics
all top 5

Fields

29 Quantum theory (81-XX)
27 Nonassociative rings and algebras (17-XX)
21 Topological groups, Lie groups (22-XX)
7 Differential geometry (53-XX)
6 Relativity and gravitational theory (83-XX)
5 Group theory and generalizations (20-XX)
4 Geometry (51-XX)
3 Associative rings and algebras (16-XX)
3 Global analysis, analysis on manifolds (58-XX)
2 Dynamical systems and ergodic theory (37-XX)
1 General and overarching topics; collections (00-XX)
1 Ordinary differential equations (34-XX)
1 Partial differential equations (35-XX)
1 Functional analysis (46-XX)
1 Algebraic topology (55-XX)
1 Mechanics of particles and systems (70-XX)
1 Optics, electromagnetic theory (78-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

27 Publications have been cited 107 times in 65 Documents Cited by ▼ Year ▼
Lie bialgebra contractions and quantum deformations of quasi-orthogonal algebras. Zbl 0868.17012
Ballesteros, A.; Gromov, N. A.; Herranz, F. J.; del Olmo, M. A.; Santander, M.
15
1995
The Jordan-Schwinger representations of Cayley-Klein groups. I: The orthogonal groups. Zbl 0701.22009
Gromov, N. A.; Man’ko, V. I.
12
1990
Possible quantum kinematics. Zbl 1111.81098
Gromov, N. A.; Kuratov, V. V.
8
2006
The matrix quantum unitary Cayley-Klein groups. Zbl 0766.17012
Gromov, N. A.
7
1993
Contractions and analytical continuations of classical groups. A unified approach. (Kontraktsii i analiticheskie prodolzheniya klassicheskikh grupp. Edinyj podkhod). Ed. by V. I. \(Man'ko\). Ed. by V. I. Man’ko. (Kontraktsii i analiticheskie prodolzheniya klassicheskikh grupp. Edinyj podkhod.) Zbl 0703.22015
Gromov, N. A.
7
1990
Transitions: Contractions and analytical continuations of the Cayley- Klein groups. Zbl 0702.51013
Gromov, N. A.
7
1990
Contractions of the irreducible representations of the quantum algebras su\(_ q(2)\) and so\(_ q(3)\). Zbl 0767.17008
Gromov, N. A.; Man’ko, V. I.
6
1992
Casimir operators of groups of motions of spaces of constant curvature. Zbl 0494.53046
Gromov, N. A.
5
1981
The Jordan-Schwinger representations of Cayley-Klein groups. II: The unitary groups. Zbl 0701.22010
Gromov, N. A.; Man’ko, V. I.
5
1990
Possible quantum kinematics. II. Nonminimal case. Zbl 1312.81101
Gromov, N. A.
4
2010
The Gel’fand-Tsetlin representations of the orthogonal Cayley-Klein algebras. Zbl 0767.17007
Gromov, N. A.
4
1992
On contractions of classical basic superalgebras. Zbl 1022.17021
Gromov, N. A.; Kostyakov, I. V.; Kuratov, V. V.
3
2003
The Gel’fand-Tsetlin representations of the unitary Cayley-Klein algebras. Zbl 0745.22019
Gromov, N. A.
3
1991
The Jordan-Schwinger representations of Cayley-Klein groups. III: The symplectic groups. Zbl 0701.22011
Gromov, N. A.; Man’ko, V. I.
3
1990
Contractions of classical and quantum groups. (Контракции классических и квантовых групп.) Zbl 1290.17001
Gromov, N. A.
2
2012
Modules of graded contracted Virasoro algebras. Zbl 1006.17022
Kostyakov, I. V.; Gromov, N. A.; Kuratov, V. V.
2
2001
Classification of transitions between groups in Cayley-Klein spaces and kinematic groups. Zbl 0863.20021
Gromov, N. A.; Moskaliuk, S. S.
2
1996
Quantum orthogonal Cayley-Klein groups in Cartesian basis. Zbl 1073.81611
Gromov, N. A.; Kostyakov, I. V.; Kuratov, V. V.
2
1997
Contractions of integrable equations. Zbl 1073.37534
Gromov, N. A.; Kostyakov, I. V.; Kuratov, V. V.
2
1997
Limit transition in space of constant curvature. Report of the conference of the Presidium of Komu Filial of the Academy of Sciences of the USSR, July 20, 1978. (Predel’nye nerehody v prostranstvah postojannoi krivizny. Doklad na zasedanii Prezidiuma Komi filial Akademija Nauk SSSR, 20 Ijulja 1978 g.). Zbl 0403.53009
Gromov, N. A.
1
1978
On passages to the limit in sets of groups of motions and Lie algebras of spaces of constant curvature. Zbl 0496.53007
Gromov, N. A.
1
1982
Quantum groups and Cayley-Klein spaces. Zbl 0974.17511
Gromov, N. A.; Kostyakov, I. V.; Kuratov, V. V.
1
1997
Quantum algebras for non-semisimple quasi-orthogonal groups. Zbl 0864.17025
Ballesteros, A.; Herranz, F. J.; Gromov, N. A.; del Olmo, M. A.; Santander, M.
1
1995
Special unitary groups in Cayley-Klein spaces. Zbl 0844.20028
Gromov, N. A.; Moskaliuk, S. S.
1
1995
Analogues of F. I. Fedorovs’s parametrization of the groups \(SO_ 3(j)\), \(SO_ 4(j)\) in fiber spaces. Zbl 0545.22005
Gromov, N. A.
1
1984
The quantum symplectic Cayley-Klein groups. Zbl 1073.81612
Gromov, N. A.; Kostyakov, I. V.; Kuratov, V. V.
1
1997
Cayley-Klein contractions of orthosymplectic superalgebras. Zbl 1067.17510
Gromov, N. A.; Kostyakov, I. V.; Kuratov, V. V.
1
2002
Contractions of classical and quantum groups. (Контракции классических и квантовых групп.) Zbl 1290.17001
Gromov, N. A.
2
2012
Possible quantum kinematics. II. Nonminimal case. Zbl 1312.81101
Gromov, N. A.
4
2010
Possible quantum kinematics. Zbl 1111.81098
Gromov, N. A.; Kuratov, V. V.
8
2006
On contractions of classical basic superalgebras. Zbl 1022.17021
Gromov, N. A.; Kostyakov, I. V.; Kuratov, V. V.
3
2003
Cayley-Klein contractions of orthosymplectic superalgebras. Zbl 1067.17510
Gromov, N. A.; Kostyakov, I. V.; Kuratov, V. V.
1
2002
Modules of graded contracted Virasoro algebras. Zbl 1006.17022
Kostyakov, I. V.; Gromov, N. A.; Kuratov, V. V.
2
2001
Quantum orthogonal Cayley-Klein groups in Cartesian basis. Zbl 1073.81611
Gromov, N. A.; Kostyakov, I. V.; Kuratov, V. V.
2
1997
Contractions of integrable equations. Zbl 1073.37534
Gromov, N. A.; Kostyakov, I. V.; Kuratov, V. V.
2
1997
Quantum groups and Cayley-Klein spaces. Zbl 0974.17511
Gromov, N. A.; Kostyakov, I. V.; Kuratov, V. V.
1
1997
The quantum symplectic Cayley-Klein groups. Zbl 1073.81612
Gromov, N. A.; Kostyakov, I. V.; Kuratov, V. V.
1
1997
Classification of transitions between groups in Cayley-Klein spaces and kinematic groups. Zbl 0863.20021
Gromov, N. A.; Moskaliuk, S. S.
2
1996
Lie bialgebra contractions and quantum deformations of quasi-orthogonal algebras. Zbl 0868.17012
Ballesteros, A.; Gromov, N. A.; Herranz, F. J.; del Olmo, M. A.; Santander, M.
15
1995
Quantum algebras for non-semisimple quasi-orthogonal groups. Zbl 0864.17025
Ballesteros, A.; Herranz, F. J.; Gromov, N. A.; del Olmo, M. A.; Santander, M.
1
1995
Special unitary groups in Cayley-Klein spaces. Zbl 0844.20028
Gromov, N. A.; Moskaliuk, S. S.
1
1995
The matrix quantum unitary Cayley-Klein groups. Zbl 0766.17012
Gromov, N. A.
7
1993
Contractions of the irreducible representations of the quantum algebras su\(_ q(2)\) and so\(_ q(3)\). Zbl 0767.17008
Gromov, N. A.; Man’ko, V. I.
6
1992
The Gel’fand-Tsetlin representations of the orthogonal Cayley-Klein algebras. Zbl 0767.17007
Gromov, N. A.
4
1992
The Gel’fand-Tsetlin representations of the unitary Cayley-Klein algebras. Zbl 0745.22019
Gromov, N. A.
3
1991
The Jordan-Schwinger representations of Cayley-Klein groups. I: The orthogonal groups. Zbl 0701.22009
Gromov, N. A.; Man’ko, V. I.
12
1990
Contractions and analytical continuations of classical groups. A unified approach. (Kontraktsii i analiticheskie prodolzheniya klassicheskikh grupp. Edinyj podkhod). Ed. by V. I. \(Man'ko\). Ed. by V. I. Man’ko. (Kontraktsii i analiticheskie prodolzheniya klassicheskikh grupp. Edinyj podkhod.) Zbl 0703.22015
Gromov, N. A.
7
1990
Transitions: Contractions and analytical continuations of the Cayley- Klein groups. Zbl 0702.51013
Gromov, N. A.
7
1990
The Jordan-Schwinger representations of Cayley-Klein groups. II: The unitary groups. Zbl 0701.22010
Gromov, N. A.; Man’ko, V. I.
5
1990
The Jordan-Schwinger representations of Cayley-Klein groups. III: The symplectic groups. Zbl 0701.22011
Gromov, N. A.; Man’ko, V. I.
3
1990
Analogues of F. I. Fedorovs’s parametrization of the groups \(SO_ 3(j)\), \(SO_ 4(j)\) in fiber spaces. Zbl 0545.22005
Gromov, N. A.
1
1984
On passages to the limit in sets of groups of motions and Lie algebras of spaces of constant curvature. Zbl 0496.53007
Gromov, N. A.
1
1982
Casimir operators of groups of motions of spaces of constant curvature. Zbl 0494.53046
Gromov, N. A.
5
1981
Limit transition in space of constant curvature. Report of the conference of the Presidium of Komu Filial of the Academy of Sciences of the USSR, July 20, 1978. (Predel’nye nerehody v prostranstvah postojannoi krivizny. Doklad na zasedanii Prezidiuma Komi filial Akademija Nauk SSSR, 20 Ijulja 1978 g.). Zbl 0403.53009
Gromov, N. A.
1
1978
all cited Publications top 5 cited Publications
all top 5

Cited by 83 Authors

15 Ballesteros, Angel
15 Herranz, Francisco José
11 Gromov, Nikolai A.
6 Gutiérrez-Sagredo, Iván
5 Man’ko, Vladimir Ivanovich
4 Kisil, Vladimir V.
3 Bruno, Nicola Rossano
3 del Olmo, Mariano A.
3 Kuratov, V. V.
3 Santander, Mariano
2 Aktaş, Buşra
2 de Lucas, Javier
2 Durmaz, Olgun
2 Gubitosi, Giulia
2 Gündoğan, Halit
2 Gürses, Nurten
2 Hassanabadi, Hassan
2 Kostyakov, I. V.
2 Naranjo, Pedro
2 Panahi, Hossein
2 Sardón, Cristina
2 Yüce, Salim
1 Akbiyik, Mücahit
1 Bektaş, Özcan
1 Blasco, Alfonso
1 Çakır, Hasan
1 Calixto, Manuel
1 Calzada, Juan A.
1 Campoamor-Stursberg, Rutwig
1 Cattaneo, U.
1 Chakrabarti, Amithaba
1 Chargui, Yassine
1 Chung, Won-Sang
1 Dhahbi, Anis Ben
1 Dong, Shihai
1 Draper, Cristina
1 Efimov, Dmitry Borisovich
1 Ersoy, Soley
1 Esen, Oğul
1 Fernández-Saiz, Eduardo
1 Fioresi, Rita
1 Frydryszak, Andrzej M.
1 Gromov, Nikolay A.
1 Gungor, Mehmet Ali
1 Hrivnák, Jiří
1 Ihle, Dieter
1 Istomin, V. A.
1 Kustova, Elena Vladimirovna
1 Latini, Emanuele
1 Mansour, Toufik
1 Markovich, Liubov A.
1 Marrani, Alessio
1 Mercati, Flavio
1 Mercati, Flavio
1 Meyer, Thomas Leenen
1 Mladenov, Ivaĭlo M.
1 Mladenova, Clementina D.
1 Musso, Fabio
1 Mustafa, Khawlah A.
1 Najafizade, Amene
1 Negro, Javier
1 Novotný, Petr
1 Özdemir, Halim
1 Ozdemir, Mustafa Kemal
1 Pérez-Romero, Emilio
1 Plakida, Nikolay M.
1 Prutko, K. A.
1 Przytycki, Feliks
1 Ragnisco, Orlando
1 Ramis, Çağla
1 Rodríguez, Miguel Angel
1 Sánchez Ortega, Juana
1 Sarduvan, Murat
1 Schork, Matthias
1 Sergola, Matteo
1 Tobolski, Mariusz
1 Tosun, Murat
1 Vladimirov, Artem A.
1 Wreszinski, Walter F.
1 Yayli, Yusuf
1 Yılmaz, Ruṣen
1 Zając, Marcin
1 Zengin, İrem
all top 5

Cited in 31 Serials

15 Journal of Mathematical Physics
6 Physics Letters. B
6 Advances in Applied Clifford Algebras
2 Classical and Quantum Gravity
2 International Journal of Theoretical Physics
2 Mathematical Methods in the Applied Sciences
2 Physica A
2 Reports on Mathematical Physics
2 Facta Universitatis. Series Mathematics and Informatics
2 Czechoslovak Journal of Physics
2 Journal of Physics A: Mathematical and Theoretical
1 Nuclear Physics. B
1 Physics Letters. A
1 Theoretical and Mathematical Physics
1 Reviews in Mathematical Physics
1 Applied Mathematics and Computation
1 Journal of Algebra
1 Journal of Soviet Mathematics
1 Annals of Physics
1 Elemente der Mathematik
1 Boletim da Sociedade Brasileira de Matemática. Nova Série
1 Journal of Nonlinear Science
1 Vestnik St. Petersburg University. Mathematics
1 Nuclear Physics. B. Proceedings Supplements
1 European Journal of Mechanics. A. Solids
1 Lobachevskii Journal of Mathematics
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 International Electronic Journal of Geometry
1 Advances in High Energy Physics
1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
1 Proceedings of the International Geometry Center
all top 5

Cited in 33 Fields

30 Quantum theory (81-XX)
24 Nonassociative rings and algebras (17-XX)
12 Relativity and gravitational theory (83-XX)
11 Differential geometry (53-XX)
10 Topological groups, Lie groups (22-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
7 Mechanics of particles and systems (70-XX)
6 Dynamical systems and ergodic theory (37-XX)
5 Functions of a complex variable (30-XX)
4 Ordinary differential equations (34-XX)
4 Geometry (51-XX)
3 Number theory (11-XX)
3 Partial differential equations (35-XX)
3 Manifolds and cell complexes (57-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Statistical mechanics, structure of matter (82-XX)
2 Associative rings and algebras (16-XX)
2 Group theory and generalizations (20-XX)
2 Special functions (33-XX)
2 Operator theory (47-XX)
1 Combinatorics (05-XX)
1 Commutative algebra (13-XX)
1 Algebraic geometry (14-XX)
1 Measure and integration (28-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Functional analysis (46-XX)
1 General topology (54-XX)
1 Probability theory and stochastic processes (60-XX)
1 Numerical analysis (65-XX)
1 Fluid mechanics (76-XX)
1 Optics, electromagnetic theory (78-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year