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## Gurevich, Dmitrii

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 Author ID: gurevich.dmitrii-i Published as: Gurevich, D. I.; Gurevich, D.; Gurevich, Dimitri; Gourevitch, Dimitri; Gurevich, Dmitrii; Gurevich, Dmitrij; Gurevich, Dmitriy; Gurevich, Dmitri Homepage: http://www.univ-valenciennes.fr/membres/gourevitch_dimitri External Links: Math-Net.Ru
 Documents Indexed: 76 Publications since 1971
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#### Co-Authors

 20 single-authored 30 Saponov, Pavel A. 10 Rubtsov, Vladimir Nikolaevich 9 Donin, Joseph 4 Pyatov, P. N. 4 Pyatov, Pavel 3 Akueson, P. 2 Dutriaux, Antoine 2 Leclercq, R. 2 Lychagin, Valentin V. 2 Majid, Shahn 1 Access, P. A. Saponov 1 Mriss, Zakaria 1 Panyushev, Dmitri Ivanovich 1 Radul, Andrey 1 Shnider, Steven 1 Škoda, Zoran 1 Slinkin, Alexey 1 Talalaev, Dmitry V. 1 Vainerman, Leonid I. 1 Zobin, Naum M.
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#### Serials

 9 Journal of Geometry and Physics 7 Theoretical and Mathematical Physics 5 Functional Analysis and its Applications 4 Journal of Physics A: Mathematical and General 3 Letters in Mathematical Physics 3 Comptes Rendus de l’Académie des Sciences. Série I 2 Communications in Mathematical Physics 2 Mathematical Notes 2 Soviet Mathematics. Doklady 2 Acta Applicandae Mathematicae 2 St. Petersburg Mathematical Journal 2 Journal of Generalized Lie Theory and Applications 2 Journal of Physics A: Mathematical and Theoretical 1 International Journal of Modern Physics B 1 Israel Journal of Mathematics 1 Russian Mathematical Surveys 1 Duke Mathematical Journal 1 Journal of Soviet Mathematics 1 Mathematics of the USSR. Izvestiya 1 Pacific Journal of Mathematics 1 Advances in Applied Mathematics 1 Soviet Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Algebra i Analiz 1 Leningrad Mathematical Journal 1 Izvestiya Akademii Nauk Armyanskoi SSR. Matematika 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Selecta Mathematica 1 Journal of Mathematical Sciences (New York) 1 Symmetry: Culture and Science 1 Annales Henri Poincaré 1 Journal of Nonlinear Mathematical Physics 1 Journal of Noncommutative Geometry 1 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova
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#### Fields

 55 Nonassociative rings and algebras (17-XX) 45 Quantum theory (81-XX) 24 Associative rings and algebras (16-XX) 11 Category theory; homological algebra (18-XX) 11 Functional analysis (46-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 Group theory and generalizations (20-XX) 7 Topological groups, Lie groups (22-XX) 5 Differential geometry (53-XX) 4 Partial differential equations (35-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Combinatorics (05-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Operator theory (47-XX) 3 Manifolds and cell complexes (57-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Algebraic geometry (14-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 Number theory (11-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Relativity and gravitational theory (83-XX)

#### Citations contained in zbMATH Open

64 Publications have been cited 349 times in 177 Documents Cited by Year
Algebraic aspects of the quantum Yang-Baxter equation. Zbl 0728.17012
Gurevich, D. I.
1991
Counterexamples to a problem of L. Schwartz. Zbl 0326.46020
Gurevich, D. I.
1975
Algebraic aspect of the quantum Yang-Baxter equation. Zbl 0713.17010
Gurevich, D. I.
1990
Hecke symmetries and characteristic relations on reflection equation algebras. Zbl 0882.17011
Gurevich, D. I.; Pyatov, P. N.; Saponov, P. A.
1997
Braided groups of Hopf algebras obtained by twisting. Zbl 0787.17010
Gurevich, D.; Majid, Shahn
1994
The Yang-Baxter equation and a generalization of formal Lie theory. Zbl 0627.17006
Gurevich, D. I.
1986
Quantization of Poisson pairs: The $$R$$-matrix approach. Zbl 0747.58058
Gurevich, Dmitrij; Rubtsov, Vladimir; Zobin, Naum
1992
Representation theory of (modified) reflection equation algebra of $$\mathrm{GL}(m|n)$$ type. Zbl 1206.81061
Gurevich, D.; Pyatov, P.; Saponov, P.
2009
Cayley-Hamilton theorem for quantum matrix algebras of $$\text{GL}(m|n)$$ type. Zbl 1132.16033
Gurevich, D. I.; Pyatov, P. N.; Saponov, P. A.
2006
$$R$$-matrix brackets and their quantization. Zbl 0783.17005
Donin, J.; Gurevich, D.; Majid, S.
1993
Generalized translation operators on Lie groups. Zbl 0546.22010
Gurevich, D. I.
1983
Noncommutative differential geometry related to the Yang-Baxter equation. Zbl 1044.58501
Gurevich, D.; Radul, A.; Rubtsov, V.
1992
Quantum matrix algebras of the $$\text{GL}(m|n)$$ type: the structure and spectral parameterization of the characteristic subalgebra. Zbl 1177.17013
Gurevich, D. I.; Pyatov, P. N.; Saponov, P. A.
2006
Double quantization on some orbits in the coadjoint representations of simple Lie groups. Zbl 0996.17013
Donin, J.; Gurevich, D.; Shnider, S.
1999
Quantum line bundles via Cayley-Hamilton identity. Zbl 1018.17011
Gurevich, D.; Saponov, P.
2001
On Poisson pairs associated to modified $$R$$-matrices. Zbl 0824.58022
Gurevich, Dmitrii; Panyushev, Dmitri I.
1994
Geometry of non-commutative orbits related to Hecke symmetries. Zbl 1157.81316
Gurevich, D.; Saponov, P.
2007
Quasi-Hopf algebras and $$R$$-matrix structures in line bundles over flag manifolds. Zbl 0811.17017
Donin, J.; Gurevich, D.
1993
Hecke symmetry and quantum determinants. Zbl 0703.22016
Gurevich, D. I.
1989
Poisson brackets associated with the classical Yang-Baxter equation. Zbl 0701.22008
Gurevich, D. I.
1989
Hecke symmetries and braided Lie algebras. Zbl 0890.17010
Gurevich, Dmitri
1993
Traces in braided categories. Zbl 1016.18004
Gurevich, D.; Leclercq, R.; Saponov, P.
2002
Some Poisson structures associated to Drinfeld-Jimbo $$R$$-matrices and their quantization. Zbl 0842.58039
Donin, J.; Gurevich, D.
1995
Braided modules and reflection equations. Zbl 0936.17014
Gurevich, Dimitri
1997
Braiding of the Lie algebra $$sl(2)$$. Zbl 0853.17009
Donin, J.; Gurevich, D.
1995
Braided affine geometry and $$q$$-analogs of wave operators. Zbl 1202.81108
Gurevich, Dimitri; Saponov, Pavel
2009
Double quantization of $$\mathbb{C}\mathbb{P}^n$$ type orbits by generalized Verma modules. Zbl 0945.17003
Donin, J.; Gurevich, D.; Khoroshkin, S.
1998
Braided algebras and their applications to noncommutative geometry. Zbl 1292.17011
Gurevich, Dimitri; Saponov, Pavel
2013
Quantum line bundles on a noncommutative sphere. Zbl 1043.58002
Gurevich, D.; Saponov, P.
2002
Dual quasitriangular structures related to the Temperley-Lieb algebra. Zbl 0898.17010
Akueson, P.; Gurevich, D.
1998
$$q$$-index on braided non-commutative spheres. Zbl 1126.58005
Gurevich, D.; Leclercq, R.; Saponov, P.
2005
Generalized displacement operators with a right infinitesimal Sturm- Liouville operator. Zbl 0452.47058
Gurevich, D. I.
1979
Some aspects of braided geometry: differential calculus, tangent space, gauge theory. Zbl 0945.58007
Akueson, P.; Gurevich, D.
1999
Braided Yangians. Zbl 1414.81136
Gurevich, Dimitri; Saponov, Pavel
2019
Equation de Yang-Baxter et quantification des cocycles. (The Yang-Baxter equation and quantization of cocycles). Zbl 0719.17005
Gurevich, D. I.
1990
On a problem of L. Schwartz. Zbl 0245.46050
Gurevich, D. I.
1971
Quantum hyperboloid and braided modules. Zbl 0973.17502
Donin, J.; Gurevich, D.; Rubtsov, V.
1995
Quantum orbits of the $$R$$-matrix type. Zbl 0853.17010
Donin, J.; Gurevich, D.
1995
Closed ideals with the zero-dimensional root set in certain rings of holomorphic functions. Zbl 0395.46025
Gurevich, D. I.
1978
Spectral parameterization for power sums of a quantum supermatrix. Zbl 1173.81006
Gurevich, D. I.; Pyatov, P. N.; Access, P. A. Saponov
2009
Non-commutative analogues of $$q$$-special polynomials and a $$q$$-integral on a quantum sphere. Zbl 0904.33014
Gurevich, D.; Vainerman, L.
1998
Yang-Baxter equation and deformation of associative and Lie algebras. Zbl 0851.17019
Gurevich, D.; Rubtsov, V.
1992
Braided differential operators on quantum algebras. Zbl 1278.17016
Gurevich, Dimitri; Pyatov, Pavel; Saponov, Pavel
2011
Generic super-orbits in $$gl(mn)^*$$ and their braided counterparts. Zbl 1194.81132
Gurevich, Dimitri; Saponov, Pavel
2010
Quantization of pencils with a $$gl$$-type Poisson center and braided geometry. Zbl 1248.81090
Gurevich, Dimitri; Saponov, Pavel
2011
Braided Weyl algebras and differential calculus on $$U(u(2))$$. Zbl 1259.17010
Gurevich, Dimitri; Pyatov, Pavel; Saponov, Pavel
2012
Derivatives in noncommutative calculus and deformation property of quantum algebras. Zbl 1369.46062
Gurevich, Dimitri; Saponov, Pavel
2016
Bilinear identities on Schur symmetric functions. Zbl 1362.05129
Gurevich, Dimitri; Pyatov, Pavel; Saponov, Pavel
2010
Generalized Yangians and their Poisson counterparts. Zbl 1382.81120
Gurevich, D. I.; Saponov, Pavel A.
2017
Drinfeld-Sokolov reduction in quantum algebras: canonical form of generating matrices. Zbl 1398.81129
Gurevich, Dimitri; Saponov, Pavel; Talalaev, Dmitry
2018
Two types of Poisson pencils and related quantum objects. Zbl 0973.81048
Gurevich, D.; Donin, J.; Rubtsov, V.
1998
Schur-Weyl categories and non-quasiclassical Weyl type formula. Zbl 1038.20032
Gurevich, Dimitri; Mriss, Zakaria
2000
Quantization of Poisson pencils and generalized Lie algebras. Zbl 0855.58032
Gurevich, D.; Rubtsov, V.
1995
Generalized bases in certain rings of holomorphic functions. Zbl 0264.46023
Gurevich, D. I.
1973
Cotangent and tangent modules on quantum orbits. Zbl 1073.17503
Akueson, P.; Gurevich, D.
2000
The Maxwell operator on $$q$$-Minkowski space and $$q$$-hyperboloid algebras. Zbl 1157.17004
Dutriaux, Antoine; Gurevich, Dimitri
2008
Noncommutative dynamical models with quantum symmetries. Zbl 1144.17008
Dutriaux, Antoine; Gurevich, Dimitri
2008
Reflection equation algebra in braided geometry. Zbl 1220.17005
Gurevich, Dimitri; Pyatov, Pavel; Saponov, Pavel
2008
Higher-dimensional representations of the reflection equation algebra. Zbl 1178.81102
Gurevich, D. I.; Saponov, P. A.
2004
Abeschlossene Ideale mit exp-polynomialen Erzeugenden in Ringen ganzer Funktionen von zwei Variablen. Zbl 0304.46032
Gurevich, D. I.
1975
Noncommutative geometry and dynamical models on $$U(u(2))$$ background. Zbl 1379.46054
Gurevich, D.; Saponov, P.
2015
On many-valued Lie groups. Zbl 0589.22019
Gurevich, D. I.
1984
From reflection equation algebra to braided Yangians. Zbl 1423.81108
Gurevich, Dimitri; Saponov, Pavel
2018
Bethe subalgebras in braided Yangians and Gaudin-type models. Zbl 07178344
Gurevich, Dimitri; Saponov, Pavel; Slinkin, Alexey
2020
Bethe subalgebras in braided Yangians and Gaudin-type models. Zbl 07178344
Gurevich, Dimitri; Saponov, Pavel; Slinkin, Alexey
2020
Braided Yangians. Zbl 1414.81136
Gurevich, Dimitri; Saponov, Pavel
2019
Drinfeld-Sokolov reduction in quantum algebras: canonical form of generating matrices. Zbl 1398.81129
Gurevich, Dimitri; Saponov, Pavel; Talalaev, Dmitry
2018
From reflection equation algebra to braided Yangians. Zbl 1423.81108
Gurevich, Dimitri; Saponov, Pavel
2018
Generalized Yangians and their Poisson counterparts. Zbl 1382.81120
Gurevich, D. I.; Saponov, Pavel A.
2017
Derivatives in noncommutative calculus and deformation property of quantum algebras. Zbl 1369.46062
Gurevich, Dimitri; Saponov, Pavel
2016
Noncommutative geometry and dynamical models on $$U(u(2))$$ background. Zbl 1379.46054
Gurevich, D.; Saponov, P.
2015
Braided algebras and their applications to noncommutative geometry. Zbl 1292.17011
Gurevich, Dimitri; Saponov, Pavel
2013
Braided Weyl algebras and differential calculus on $$U(u(2))$$. Zbl 1259.17010
Gurevich, Dimitri; Pyatov, Pavel; Saponov, Pavel
2012
Braided differential operators on quantum algebras. Zbl 1278.17016
Gurevich, Dimitri; Pyatov, Pavel; Saponov, Pavel
2011
Quantization of pencils with a $$gl$$-type Poisson center and braided geometry. Zbl 1248.81090
Gurevich, Dimitri; Saponov, Pavel
2011
Generic super-orbits in $$gl(mn)^*$$ and their braided counterparts. Zbl 1194.81132
Gurevich, Dimitri; Saponov, Pavel
2010
Bilinear identities on Schur symmetric functions. Zbl 1362.05129
Gurevich, Dimitri; Pyatov, Pavel; Saponov, Pavel
2010
Representation theory of (modified) reflection equation algebra of $$\mathrm{GL}(m|n)$$ type. Zbl 1206.81061
Gurevich, D.; Pyatov, P.; Saponov, P.
2009
Braided affine geometry and $$q$$-analogs of wave operators. Zbl 1202.81108
Gurevich, Dimitri; Saponov, Pavel
2009
Spectral parameterization for power sums of a quantum supermatrix. Zbl 1173.81006
Gurevich, D. I.; Pyatov, P. N.; Access, P. A. Saponov
2009
The Maxwell operator on $$q$$-Minkowski space and $$q$$-hyperboloid algebras. Zbl 1157.17004
Dutriaux, Antoine; Gurevich, Dimitri
2008
Noncommutative dynamical models with quantum symmetries. Zbl 1144.17008
Dutriaux, Antoine; Gurevich, Dimitri
2008
Reflection equation algebra in braided geometry. Zbl 1220.17005
Gurevich, Dimitri; Pyatov, Pavel; Saponov, Pavel
2008
Geometry of non-commutative orbits related to Hecke symmetries. Zbl 1157.81316
Gurevich, D.; Saponov, P.
2007
Cayley-Hamilton theorem for quantum matrix algebras of $$\text{GL}(m|n)$$ type. Zbl 1132.16033
Gurevich, D. I.; Pyatov, P. N.; Saponov, P. A.
2006
Quantum matrix algebras of the $$\text{GL}(m|n)$$ type: the structure and spectral parameterization of the characteristic subalgebra. Zbl 1177.17013
Gurevich, D. I.; Pyatov, P. N.; Saponov, P. A.
2006
$$q$$-index on braided non-commutative spheres. Zbl 1126.58005
Gurevich, D.; Leclercq, R.; Saponov, P.
2005
Higher-dimensional representations of the reflection equation algebra. Zbl 1178.81102
Gurevich, D. I.; Saponov, P. A.
2004
Traces in braided categories. Zbl 1016.18004
Gurevich, D.; Leclercq, R.; Saponov, P.
2002
Quantum line bundles on a noncommutative sphere. Zbl 1043.58002
Gurevich, D.; Saponov, P.
2002
Quantum line bundles via Cayley-Hamilton identity. Zbl 1018.17011
Gurevich, D.; Saponov, P.
2001
Schur-Weyl categories and non-quasiclassical Weyl type formula. Zbl 1038.20032
Gurevich, Dimitri; Mriss, Zakaria
2000
Cotangent and tangent modules on quantum orbits. Zbl 1073.17503
Akueson, P.; Gurevich, D.
2000
Double quantization on some orbits in the coadjoint representations of simple Lie groups. Zbl 0996.17013
Donin, J.; Gurevich, D.; Shnider, S.
1999
Some aspects of braided geometry: differential calculus, tangent space, gauge theory. Zbl 0945.58007
Akueson, P.; Gurevich, D.
1999
Double quantization of $$\mathbb{C}\mathbb{P}^n$$ type orbits by generalized Verma modules. Zbl 0945.17003
Donin, J.; Gurevich, D.; Khoroshkin, S.
1998
Dual quasitriangular structures related to the Temperley-Lieb algebra. Zbl 0898.17010
Akueson, P.; Gurevich, D.
1998
Non-commutative analogues of $$q$$-special polynomials and a $$q$$-integral on a quantum sphere. Zbl 0904.33014
Gurevich, D.; Vainerman, L.
1998
Two types of Poisson pencils and related quantum objects. Zbl 0973.81048
Gurevich, D.; Donin, J.; Rubtsov, V.
1998
Hecke symmetries and characteristic relations on reflection equation algebras. Zbl 0882.17011
Gurevich, D. I.; Pyatov, P. N.; Saponov, P. A.
1997
Braided modules and reflection equations. Zbl 0936.17014
Gurevich, Dimitri
1997
Some Poisson structures associated to Drinfeld-Jimbo $$R$$-matrices and their quantization. Zbl 0842.58039
Donin, J.; Gurevich, D.
1995
Braiding of the Lie algebra $$sl(2)$$. Zbl 0853.17009
Donin, J.; Gurevich, D.
1995
Quantum hyperboloid and braided modules. Zbl 0973.17502
Donin, J.; Gurevich, D.; Rubtsov, V.
1995
Quantum orbits of the $$R$$-matrix type. Zbl 0853.17010
Donin, J.; Gurevich, D.
1995
Quantization of Poisson pencils and generalized Lie algebras. Zbl 0855.58032
Gurevich, D.; Rubtsov, V.
1995
Braided groups of Hopf algebras obtained by twisting. Zbl 0787.17010
Gurevich, D.; Majid, Shahn
1994
On Poisson pairs associated to modified $$R$$-matrices. Zbl 0824.58022
Gurevich, Dmitrii; Panyushev, Dmitri I.
1994
$$R$$-matrix brackets and their quantization. Zbl 0783.17005
Donin, J.; Gurevich, D.; Majid, S.
1993
Quasi-Hopf algebras and $$R$$-matrix structures in line bundles over flag manifolds. Zbl 0811.17017
Donin, J.; Gurevich, D.
1993
Hecke symmetries and braided Lie algebras. Zbl 0890.17010
Gurevich, Dmitri
1993
Quantization of Poisson pairs: The $$R$$-matrix approach. Zbl 0747.58058
Gurevich, Dmitrij; Rubtsov, Vladimir; Zobin, Naum
1992
Noncommutative differential geometry related to the Yang-Baxter equation. Zbl 1044.58501
Gurevich, D.; Radul, A.; Rubtsov, V.
1992
Yang-Baxter equation and deformation of associative and Lie algebras. Zbl 0851.17019
Gurevich, D.; Rubtsov, V.
1992
Algebraic aspects of the quantum Yang-Baxter equation. Zbl 0728.17012
Gurevich, D. I.
1991
Algebraic aspect of the quantum Yang-Baxter equation. Zbl 0713.17010
Gurevich, D. I.
1990
Equation de Yang-Baxter et quantification des cocycles. (The Yang-Baxter equation and quantization of cocycles). Zbl 0719.17005
Gurevich, D. I.
1990
Hecke symmetry and quantum determinants. Zbl 0703.22016
Gurevich, D. I.
1989
Poisson brackets associated with the classical Yang-Baxter equation. Zbl 0701.22008
Gurevich, D. I.
1989
The Yang-Baxter equation and a generalization of formal Lie theory. Zbl 0627.17006
Gurevich, D. I.
1986
On many-valued Lie groups. Zbl 0589.22019
Gurevich, D. I.
1984
Generalized translation operators on Lie groups. Zbl 0546.22010
Gurevich, D. I.
1983
Generalized displacement operators with a right infinitesimal Sturm- Liouville operator. Zbl 0452.47058
Gurevich, D. I.
1979
Closed ideals with the zero-dimensional root set in certain rings of holomorphic functions. Zbl 0395.46025
Gurevich, D. I.
1978
Counterexamples to a problem of L. Schwartz. Zbl 0326.46020
Gurevich, D. I.
1975
Abeschlossene Ideale mit exp-polynomialen Erzeugenden in Ringen ganzer Funktionen von zwei Variablen. Zbl 0304.46032
Gurevich, D. I.
1975
Generalized bases in certain rings of holomorphic functions. Zbl 0264.46023
Gurevich, D. I.
1973
On a problem of L. Schwartz. Zbl 0245.46050
Gurevich, D. I.
1971
all top 5

#### Cited by 171 Authors

 30 Gurevich, Dmitrii 18 Saponov, Pavel A. 10 Donin, Joseph 8 Phùng Hô‘ Hài 7 Rubtsov, Vladimir Nikolaevich 5 Berenstein, Carlos Alberto 5 Majid, Shahn 5 Pyatov, Pavel 4 Kharchenko, Vladislav K. 4 Mudrov, Andrey I. 4 Ogievetsky, Oleg V. 4 Pyatov, P. N. 4 Yger, Alain 3 Akueson, P. 3 Fiore, Gaetano 3 Leclercq, R. 3 Shnider, Steven 3 Smirnov, Alexander O. 3 Taylor, Bert Alan 3 Weit, Yitzhak 2 Albuquerque, Helena 2 Andruskiewitsch, Nicolás 2 Ardizzoni, Alessandro 2 Bahturin, Yuri 2 Chervov, Alexander Viktorovich 2 Domokos, Mátyás 2 Dubois-Violette, Michel 2 Enriquez, Benjamin 2 Falqui, Gregorio 2 Fischman, Davida 2 Huru, Hilja Lisa 2 Kochetov, Mikhail Viktorovich 2 Landi, Giovanni 2 Masuoka, Akira 2 Meril, Alex 2 Montgomery, Susan 2 Platonov, Sergei S. 2 Radul, Andrey 2 Skryabin, Serge 2 Zhang, Shouchuan 2 Zhang, Yaozhong 1 Access, P. A. Saponov 1 Al-harbi, Bashayer 1 Al-Shomrani, Mohammed Mosa 1 Angiono, Iván Ezequiel 1 Aschieri, Paolo 1 Ashton, Thomas 1 Bachmaier, Fabian 1 Beggs, Edwin J. 1 Bichon, Julien 1 Blohmann, Christian 1 Boucetta, Mohamed 1 Braun, Amiram 1 Bruguières, Alain 1 Buffenoir, E. 1 Bugrii, A. I. 1 Bytsko, Andrei G. 1 Chamberland, Marc 1 Chen, Huixiang 1 Chen, Zhi 1 Cooke, Juliet 1 Cotta-Ramusino, Paolo 1 Davydov, Alekseĭ Aleksandrovich 1 Devoto, Jorge Andrés 1 Dijkhuizen, Mathijs S. 1 Djemaï, A. E. F. 1 Drinfeld, Vladimir Gershonovich 1 Drozd, Yuriĭ Anatoliĭovych 1 Dung, Nguyên Thi Phuong 1 Dutriaux, Antoine 1 Etingof, Pavel Il’ich 1 Fakieh, Wafa M. 1 Farber, Miriam 1 Farinati, Marco Andrés 1 Floré, Matthias 1 Franco, Davide 1 Fujita, Hisaaki 1 Futorny, Vyacheslav M. 1 García, Gastón Andrés 1 Graña, Matías 1 Guillot, Pierre-Louis 1 Hadjiivanov, Ludmil K. 1 Hazewinkel, Michiel 1 Hopkins, Samuel Francis 1 Horváth, Gábor 1 Hu, Naihong 1 Isaev, Alexei P. 1 Ivanova, Ol’ga Aleksandrovna 1 Jian, Runqiang 1 Jiao, Zhengming 1 Jordan, David Andrew 1 Kassel, Christian 1 Khanin, V. M. 1 Kholodov, Alexander Nickolaevich 1 Khoroshkin, Sergei 1 Kim, Vitaly E. 1 Kirkman, Ellen E. 1 Kotov, A. Yu. 1 Kotov, Alexei 1 Kožić, Slaven ...and 71 more Authors
all top 5

#### Cited in 61 Serials

 19 Journal of Algebra 17 Journal of Geometry and Physics 11 Theoretical and Mathematical Physics 10 Communications in Mathematical Physics 9 Letters in Mathematical Physics 8 Advances in Mathematics 8 Journal of Pure and Applied Algebra 6 Israel Journal of Mathematics 6 Journal of Mathematical Physics 5 Annales de l’Institut Fourier 5 Acta Applicandae Mathematicae 5 Journal of Noncommutative Geometry 3 Journal of Mathematical Analysis and Applications 3 Journal of Soviet Mathematics 3 Advances in Applied Mathematics 3 Journal of Mathematical Sciences (New York) 3 Algebras and Representation Theory 2 Communications in Algebra 2 International Journal of Theoretical Physics 2 Journal d’Analyse Mathématique 2 Nuclear Physics. B 2 Duke Mathematical Journal 2 Proceedings of the American Mathematical Society 2 Annales de l’Institut Henri Poincaré. Physique Théorique 2 St. Petersburg Mathematical Journal 2 Advances in Applied Clifford Algebras 1 International Journal of Modern Physics B 1 Archive for Rational Mechanics and Analysis 1 Fluid Dynamics 1 Ukrainian Mathematical Journal 1 Reviews in Mathematical Physics 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Bulletin de la Société Mathématique de France 1 Cahiers de Topologie et Géométrie Différentielle Catégoriques 1 Colloquium Mathematicum 1 Compositio Mathematica 1 Functional Analysis and its Applications 1 Journal of Combinatorial Theory. Series A 1 Journal of Functional Analysis 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Nagoya Mathematical Journal 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Results in Mathematics 1 Transactions of the American Mathematical Society 1 Aequationes Mathematicae 1 Chinese Science Bulletin 1 Journal of Dynamics and Differential Equations 1 Journal of Knot Theory and its Ramifications 1 Russian Mathematics 1 Russian Journal of Mathematical Physics 1 Journal of Lie Theory 1 Sbornik: Mathematics 1 The Journal of Fourier Analysis and Applications 1 Mathematical Physics, Analysis and Geometry 1 Annales Henri Poincaré 1 Journal of Nonlinear Mathematical Physics 1 Cahiers de Topologie et Géométrie Différentielle Catégoriques 1 Journal of Algebra and its Applications 1 European Journal of Pure and Applied Mathematics 1 Vestnik Samarskogo Universiteta. Estestvennonauchnaya Seriya
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#### Cited in 36 Fields

 102 Nonassociative rings and algebras (17-XX) 79 Associative rings and algebras (16-XX) 61 Quantum theory (81-XX) 23 Differential geometry (53-XX) 19 Functional analysis (46-XX) 17 Category theory; homological algebra (18-XX) 17 Global analysis, analysis on manifolds (58-XX) 15 Group theory and generalizations (20-XX) 12 Dynamical systems and ergodic theory (37-XX) 12 Abstract harmonic analysis (43-XX) 9 Algebraic geometry (14-XX) 8 Partial differential equations (35-XX) 6 Several complex variables and analytic spaces (32-XX) 4 Combinatorics (05-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Topological groups, Lie groups (22-XX) 4 Manifolds and cell complexes (57-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Relativity and gravitational theory (83-XX) 3 Number theory (11-XX) 3 Difference and functional equations (39-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Operator theory (47-XX) 2 Ordinary differential equations (34-XX) 2 Approximations and expansions (41-XX) 2 Integral equations (45-XX) 2 Algebraic topology (55-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 $$K$$-theory (19-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Fluid mechanics (76-XX)