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## Khoroshkin, Sergei

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 Author ID: khoroshkin.sergei Published as: Khoroshkin, S.; Khoroshkin, Sergei
 Documents Indexed: 17 Publications since 1993 Reviewing Activity: 37 Reviews

#### Co-Authors

 0 single-authored 1 Ding, Jintai 1 Ogievetsky, Oleg V. 1 Radul, Andrey 1 Rubtsov, Vladimir Nikolaevich 1 Schechtman, Vadim

#### Serials

 1 Communications in Mathematical Physics 1 Letters in Mathematical Physics 1 Mathematical Research Letters 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
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#### Fields

 3 Nonassociative rings and algebras (17-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Differential geometry (53-XX) 1 Quantum theory (81-XX)

#### Citations contained in zbMATH Open

14 Publications have been cited 104 times in 85 Documents Cited by Year
Mickelsson algebras and Zhelobenko operators. Zbl 1236.16023
Khoroshkin, S.; Ogievetsky, O.
2008
Generalized Hirota equations and representation theory. I: The case of SL(2) and $$\text{SL}_q(2)$$. Zbl 0985.37510
Gerasimov, A.; Khoroshkin, S.; Lebedev, D.; Mironov, A.; Morozov, A.
1995
A family of Poisson structures on Hermitian symmetric spaces. Zbl 0785.58024
1993
Weyl group extension of quantized current algebras. Zbl 1018.17010
Ding, J.; Khoroshkin, S.
1999
Factorization of the universal $${\mathcal R}$$-matrix for $$U_q (\widehat{sl}_2)$$. Zbl 1112.17300
Ding, J.; Pakulyak, S.; Khoroshkin, S.
2000
Quiver $$D$$-modules and homology of local systems over an arrangement of hyperplanes. Zbl 1116.32005
Khoroshkin, S.; Varchenko, A.
2006
Structure constants of diagonal reduction algebras of $$\mathfrak{gl}$$ type. Zbl 1293.17014
Khoroshkin, Sergei; Ogievetsky, Oleg
2011
Double quantization of $$\mathbb{C}\mathbb{P}^n$$ type orbits by generalized Verma modules. Zbl 0945.17003
Donin, J.; Gurevich, D.; Khoroshkin, S.
1998
Diagonal reduction algebra and the reflection equation. Zbl 1428.17011
Khoroshkin, S.; Ogievetsky, O.
2017
Rings of fractions of reduction algebras. Zbl 1328.17012
Khoroshkin, S.; Ogievetsky, O.
2014
Poisson-Lie aspects of classical $$W$$-algebras. Zbl 0842.17039
Enriquez, B.; Khoroshkin, S.; Radul, A.; Rosly, A.; Rubtsov, V.
1995
On the FRTS approach to quantized current algebras. Zbl 0973.17026
Ding, Jintai; Khoroshkin, Sergei
1998
Factorizable $${\mathcal D}$$-modules. Zbl 0886.17012
1997
Intertwining operators and Hirota bilinear equations. Zbl 0860.17016
Kharchev, S.; Khoroshkin, S.; Lebedev, D.
1995
Diagonal reduction algebra and the reflection equation. Zbl 1428.17011
Khoroshkin, S.; Ogievetsky, O.
2017
Rings of fractions of reduction algebras. Zbl 1328.17012
Khoroshkin, S.; Ogievetsky, O.
2014
Structure constants of diagonal reduction algebras of $$\mathfrak{gl}$$ type. Zbl 1293.17014
Khoroshkin, Sergei; Ogievetsky, Oleg
2011
Mickelsson algebras and Zhelobenko operators. Zbl 1236.16023
Khoroshkin, S.; Ogievetsky, O.
2008
Quiver $$D$$-modules and homology of local systems over an arrangement of hyperplanes. Zbl 1116.32005
Khoroshkin, S.; Varchenko, A.
2006
Factorization of the universal $${\mathcal R}$$-matrix for $$U_q (\widehat{sl}_2)$$. Zbl 1112.17300
Ding, J.; Pakulyak, S.; Khoroshkin, S.
2000
Weyl group extension of quantized current algebras. Zbl 1018.17010
Ding, J.; Khoroshkin, S.
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
On the FRTS approach to quantized current algebras. Zbl 0973.17026
Ding, Jintai; Khoroshkin, Sergei
1998
Factorizable $${\mathcal D}$$-modules. Zbl 0886.17012
1997
Generalized Hirota equations and representation theory. I: The case of SL(2) and $$\text{SL}_q(2)$$. Zbl 0985.37510
Gerasimov, A.; Khoroshkin, S.; Lebedev, D.; Mironov, A.; Morozov, A.
1995
Poisson-Lie aspects of classical $$W$$-algebras. Zbl 0842.17039
Enriquez, B.; Khoroshkin, S.; Radul, A.; Rosly, A.; Rubtsov, V.
1995
Intertwining operators and Hirota bilinear equations. Zbl 0860.17016
Kharchev, S.; Khoroshkin, S.; Lebedev, D.
1995
A family of Poisson structures on Hermitian symmetric spaces. Zbl 0785.58024
1993
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#### Cited by 90 Authors

 17 Khoroshkin, Sergey M. 9 Mironov, Andrei D. 8 Morozov, Alexei Yurievich 7 Ogievetsky, Oleg V. 6 Donin, Joseph 6 Gurevich, Dmitrii 6 Pakuliak, Stanislav Z. 5 Mudrov, Andrey I. 5 Nazarov, Maxim Leonidovich 4 Morozov, Al’bert Dmitrievich 3 Akueson, P. 3 Ding, Jintai 3 Enriquez, Benjamin 3 Shakirov, Sh. R. 2 Abebaw, Tilahun 2 Alexandrov, Alexander Sergeevich 2 Ashton, Thomas 2 Bøgvad, Rikard 2 Bonechi, Francesco 2 Foth, Philip A. 2 Guay, Nicolas 2 Herlemont, Basile 2 Itoyama, Hiroshi 2 Joseph, Anthony 2 Khoroshkin, Sergei 2 Qiu, Jian 2 Shapiro, Alexander 2 Tarlini, Marco 2 Varchenko, Alexander Nikolaevich 2 Wendlandt, Curtis 1 Alekseev, Anton Yu. 1 Alexandrov, A. D. 1 Àlvarez Montaner, Josep 1 Andruskiewitsch, Nicolás 1 Baranov, Alexander A. 1 Borsato, Riccardo 1 Chervov, Alexander Viktorovich 1 Chung, Won-Sang 1 Ciccoli, Nicola 1 Demulder, Saskia 1 Dijkhuizen, Mathijs S. 1 Donin, Dmitry 1 Falk, Michael J. 1 Gerasimov, Anton A. 1 Golenishcheva-Kutuzova, Maria I. 1 Hasegawa, Koji 1 Haßler, Falk 1 Kharchev, S. M. 1 Kharchev, Sergey 1 Khesin, Boris A. 1 Kodera, Ryosuke 1 Kotov, A. Yu. 1 Kotov, Alexei 1 Lebedev, Dimitri R. 1 Lebedev, Dmitry V. 1 Lu, Jiang-Hua 1 Majid, Shahn 1 Melnikov, Dmitry 1 Miki, Kei 1 Moreau, Anne 1 Nakajima, Hiraku 1 Nakayama, Hiromasa 1 Natanzon, Sergei M. 1 Os’kin, A. F. 1 Ostapenko, Vadim Zeev 1 Panyushev, Dmitri Ivanovich 1 Piccinini, Giacomo 1 Pyatov, Pavel 1 Regelskis, Vidas 1 Rubtsov, Vladimir Nikolaevich 1 Schechtman, Vadim 1 Selivanov, K. G. 1 Shafiekhani, Azizollah 1 Shapiro, Alex 1 Shapiro, Ann-Marie 1 Shnider, Steven 1 Silant’ev, A. V. 1 Sleptsov, Alexey 1 Slinkin, Alexey 1 Stokman, Jasper V. 1 Takayama, Nobuki 1 Tarasov, Vitaly Olegovich 1 Thompson, Daniel C. 1 Tiraboschi, Alejandro 1 Torrielli, Alessandro 1 Vahidi, Alireza 1 Vinberg, Èrnest Borisovich 1 Vinet, Luc 1 Yur’ev, Denis Valer’evich 1 Zuevsky, Alexander
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#### Cited in 33 Serials

 16 Theoretical and Mathematical Physics 8 Journal of Geometry and Physics 4 International Journal of Modern Physics A 4 Communications in Mathematical Physics 4 Transformation Groups 4 Journal of High Energy Physics 3 Israel Journal of Mathematics 3 Journal of Mathematical Physics 3 Letters in Mathematical Physics 3 Advances in Mathematics 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Nuclear Physics. B 2 Functional Analysis and its Applications 2 Transactions of the American Mathematical Society 2 Journal of Mathematical Sciences (New York) 2 St. Petersburg Mathematical Journal 2 Algebras and Representation Theory 2 Journal de l’École Polytechnique – Mathématiques 1 Modern Physics Letters A 1 International Journal of Modern Physics B 1 Physics Letters. B 1 Arkiv för Matematik 1 Cahiers de Topologie et Géométrie Différentielle Catégoriques 1 Duke Mathematical Journal 1 Journal of Algebra 1 Journal of Pure and Applied Algebra 1 Proceedings of the American Mathematical Society 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Advances in Applied Clifford Algebras 1 Journal of Nonlinear Mathematical Physics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Open Mathematics
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#### Cited in 26 Fields

 62 Nonassociative rings and algebras (17-XX) 45 Quantum theory (81-XX) 12 Differential geometry (53-XX) 11 Dynamical systems and ergodic theory (37-XX) 9 Associative rings and algebras (16-XX) 8 Algebraic geometry (14-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Several complex variables and analytic spaces (32-XX) 4 Group theory and generalizations (20-XX) 4 Topological groups, Lie groups (22-XX) 3 Special functions (33-XX) 3 Algebraic topology (55-XX) 2 Commutative algebra (13-XX) 2 Partial differential equations (35-XX) 2 Difference and functional equations (39-XX) 2 Functional analysis (46-XX) 2 Convex and discrete geometry (52-XX) 2 Manifolds and cell complexes (57-XX) 2 Relativity and gravitational theory (83-XX) 1 Combinatorics (05-XX) 1 General algebraic systems (08-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX)