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Sklyanin, Evgeny K.

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Author ID: sklyanin.evgeny-k Recent zbMATH articles by "Sklyanin, Evgeny K."
Published as: Sklyanin, E. K.; Sklyanin, Evgeny; Sklyanin, Evgeny K.
External Links: MGP · ORCID · Wikidata
Documents Indexed: 62 Publications since 1978, including 2 Books
Co-Authors: 18 Co-Authors with 23 Joint Publications
1,141 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

55 Publications have been cited 1,937 times in 238 Documents Cited by Year
Boundary conditions for integrable quantum systems. Zbl 0685.58058
Sklyanin, E. K.
339
1988
Yang-Baxter equation and representation theory. I. Zbl 0502.35074
Kulish, P. P.; Reshetikhin, N. Yu.; Sklyanin, E. K.
215
1981
Quantum inverse problem method. I. Zbl 1138.37331
Sklyanin, E. K.; Takhtadzhyan, L. A.; Faddeev, L. D.
168
1980
Quantum spectral transform method. Recent developments. Zbl 0734.35071
Kulish, P. P.; Sklyanin, E. K.
147
1982
Some algebraic structures connected with the Yang-Baxter equation. Zbl 0513.58028
Sklyanin, E. K.
131
1983
Solutions of the Yang-Baxter equation. Zbl 0553.58039
Kulish, P. P.; Sklyanin, E. K.
112
1982
Some algebraic structures connected with the Yang-Baxter equation. Representations of quantum algebras. Zbl 0536.58007
Sklyanin, E. K.
84
1983
On complete integrability of the Landau-Lifshitz equation. Zbl 0449.35089
Sklyanin, E. K.
66
1979
Separation of variables in the Gaudin model. Zbl 0692.35107
Sklyanin, E. K.
61
1989
Algebraic structures related to reflection equations. Zbl 0774.17019
Kulish, P. P.; Sklyanin, E. K.
60
1992
Boundary conditions for integrable equations. Zbl 0643.35093
Sklyanin, E. K.
49
1987
Quantum version of the method of inverse scattering problem. Zbl 0497.35072
Sklyanin, E. K.
42
1982
The quantum version of the inverse scattering method. Zbl 0464.35071
Sklyanin, E. K.
39
1980
The quantum Toda chain. Zbl 0601.58039
Sklyanin, E. K.
38
1985
The general \(U_ q[sl(2)]\) invariant XXZ integrable quantum spin chain. Zbl 0724.17019
Kulish, P. P.; Sklyanin, E. K.
38
1991
Separation of variables in the classical integrable \(\mathrm{SL}(3)\) magnetic chain. Zbl 0764.35106
Sklyanin, E. K.
35
1992
On Bäcklund transformations for many-body systems. Zbl 0951.37041
Kuznetsov, V. B.; Sklyanin, E. K.
30
1998
Bäcklund transformations and Baxter’s \(Q\)-operator. Zbl 0969.37030
Sklyanin, E. K.
20
2000
Separation of variables for the Ruijsenaars system. Zbl 0892.58040
Kuznetsov, V. B.; Nijhoff, F. W.; Sklyanin, E. K.
20
1997
The quantum inverse problem method. I. Zbl 0449.35096
Faddeev, L. D.; Sklyanin, E. K.; Takhtadzhyan, L. A.
18
1979
Classical limits of the SU(2)-invariant solutions of the Yang-Baxter equation. Zbl 0636.58041
Sklyanin, E. K.
17
1988
Quantum Bäcklund transformation for the integrable DST model. Zbl 1043.81569
Kuznetsov, V. B.; Salerno, M.; Sklyanin, E. K.
17
2000
Generating function of correlators in the \(sl_2\) Gaudin model. Zbl 1055.82508
Sklyanin, E. K.
16
1999
Goryachev-Chaplygin top and the inverse scattering method. Zbl 0604.70005
Sklyanin, E. K.
16
1985
Integrable hierarchy of the quantum Benjamin-Ono equation. Zbl 1301.37047
Nazarov, Maxim; Sklyanin, Evgeny
14
2013
Separation of variables in the quantum integrable models related to the Yangian \(\mathcal Y [sl (3)]\). Zbl 0860.17011
Sklyanin, E. K.
14
1993
Sekiguchi-Debiard operators at infinity. Zbl 1408.81016
Nazarov, M. L.; Sklyanin, E. K.
13
2013
\(Q\)-operator and factorised separation chain for Jack polynomials. Zbl 1057.33011
Kuznetsov, Vadim B.; Mangazeev, Vladimir V.; Sklyanin, Evgeny K.
12
2003
Dynamical \(r\)-matrix for the elliptic Ruijsenaars-Schneider system. Zbl 0896.35137
Nijhoff, F. W.; Kuznetsov, V. B.; Sklyanin, E. K.; Ragnisco, O.
12
1996
Bispectrality for the quantum open Toda chain. Zbl 1304.37049
Sklyanin, Evgeny
10
2013
On classical limits of SU(2)-invariant solutions of the Yang-Baxter equation. Zbl 0597.58049
Sklyanin, E. K.
8
1985
Quantization of the continuous Heisenberg ferromagnet. Zbl 0697.35157
Sklyanin, E. K.
7
1988
Macdonald operators at infinity. Zbl 1297.05242
Nazarov, M. L.; Sklyanin, E. K.
6
2014
New approach to the quantum nonlinear Schrödinger equation. Zbl 0702.35230
Sklyanin, E. K.
6
1989
Poisson structure of a periodic classical XYZ-chain. Zbl 0673.35095
Sklyanin, E. K.
5
1986
Dynamical \(r\)-matrices for the elliptic Calogero-Moser model. Zbl 0823.58020
Sklyanin, E. K.
5
1994
Separation of variables for the \(A_2\) Ruijsenaars model and a new integral representation for the \(A_2\) Macdonald polynomials. Zbl 0896.35136
Kuznetsov, V. B.; Sklyanin, E. K.
5
1996
Bäcklund transformation for the BC-type Toda lattice. Zbl 1157.70012
Kuznetsov, Vadim; Sklyanin, Evgeny
5
2007
Eigenproblem for Jacobi matrices: Hypergeometric series solution. Zbl 1153.15307
Kuznetsov, V. B.; Sklyanin, E. K.
4
2008
Factorisation of Macdonald polynomials. Zbl 0936.33007
Kuznetsov, V. B.; Sklyanin, E. K.
3
1999
Combinatorics of generalized Bethe equations. Zbl 1273.81218
Kozlowski, Karol K.; Sklyanin, Evgeny K.
3
2013
Separation of variables in the \(A_2\) type Jack polynomials. Zbl 0899.33009
Kuznetsov, V. B.; Sklyanin, E. K.
3
1995
Scientific heritage of L. D. Faddeev. Survey of papers. Zbl 1396.81008
Takhtajan, Leon A.; Alekseev, Anton Yu.; Aref’eva, Irina Ya.; Semenov-Tian-Shansky, Michael A.; Sklyanin, Evgeny K.; Smirnov, Fedor A.; Shatashvili, Samson L.
3
2017
Separation of variables and integral relations for special functions. Zbl 1053.33010
Kuznetsov, V. B.; Sklyanin, E. K.
2
1999
The Goryachev-Chaplygin top and the inverse scattering method. Zbl 0576.70002
Sklyanin, E. K.
2
1984
Canonicity of Bäcklund transformation: \(r\)-matrix approach. I. Zbl 0976.37042
Sklyanin, E. K.
2
2000
Quantization of the Kadomtsev-Petviashvili equation. Zbl 1390.81228
Kozlowski, K.; Sklyanin, E. K.; Torrielli, A.
2
2017
Poisson structure of classical XXZ-chain. Zbl 0685.58057
Sklyanin, E. K.
2
1987
On spin Calogero-Moser system at infinity. Zbl 1362.81102
Khoroshkin, S. M.; Matushko, M. G.; Sklyanin, E. K.
2
2017
About a class of potentials for the nonstationary Dirac equation. Zbl 0426.47006
Sklyanin, E. K.
2
1978
Factorization of symmetric polynomials. Zbl 1132.33318
Kuznetsov, Vadim B.; Sklyanin, Evgeny K.
2
2006
Lax operator for Macdonald symmetric functions. Zbl 1316.05123
Nazarov, Maxim; Sklyanin, Evgeny
2
2015
Poisson structure of a periodic classical XYZ chain. Zbl 0602.35109
Sklyanin, E. K.
1
1986
Cherednik operators and Ruijsenaars-Schneider model at infinity. Zbl 1480.05138
Nazarov, Maxim; Sklyanin, Evgeny
1
2019
Canonicity of Bäcklund transformation: \(r\)-matrix approach. II. Zbl 1056.37512
Sklyanin, E. K.
1
1999
Cherednik operators and Ruijsenaars-Schneider model at infinity. Zbl 1480.05138
Nazarov, Maxim; Sklyanin, Evgeny
1
2019
Scientific heritage of L. D. Faddeev. Survey of papers. Zbl 1396.81008
Takhtajan, Leon A.; Alekseev, Anton Yu.; Aref’eva, Irina Ya.; Semenov-Tian-Shansky, Michael A.; Sklyanin, Evgeny K.; Smirnov, Fedor A.; Shatashvili, Samson L.
3
2017
Quantization of the Kadomtsev-Petviashvili equation. Zbl 1390.81228
Kozlowski, K.; Sklyanin, E. K.; Torrielli, A.
2
2017
On spin Calogero-Moser system at infinity. Zbl 1362.81102
Khoroshkin, S. M.; Matushko, M. G.; Sklyanin, E. K.
2
2017
Lax operator for Macdonald symmetric functions. Zbl 1316.05123
Nazarov, Maxim; Sklyanin, Evgeny
2
2015
Macdonald operators at infinity. Zbl 1297.05242
Nazarov, M. L.; Sklyanin, E. K.
6
2014
Integrable hierarchy of the quantum Benjamin-Ono equation. Zbl 1301.37047
Nazarov, Maxim; Sklyanin, Evgeny
14
2013
Sekiguchi-Debiard operators at infinity. Zbl 1408.81016
Nazarov, M. L.; Sklyanin, E. K.
13
2013
Bispectrality for the quantum open Toda chain. Zbl 1304.37049
Sklyanin, Evgeny
10
2013
Combinatorics of generalized Bethe equations. Zbl 1273.81218
Kozlowski, Karol K.; Sklyanin, Evgeny K.
3
2013
Eigenproblem for Jacobi matrices: Hypergeometric series solution. Zbl 1153.15307
Kuznetsov, V. B.; Sklyanin, E. K.
4
2008
Bäcklund transformation for the BC-type Toda lattice. Zbl 1157.70012
Kuznetsov, Vadim; Sklyanin, Evgeny
5
2007
Factorization of symmetric polynomials. Zbl 1132.33318
Kuznetsov, Vadim B.; Sklyanin, Evgeny K.
2
2006
\(Q\)-operator and factorised separation chain for Jack polynomials. Zbl 1057.33011
Kuznetsov, Vadim B.; Mangazeev, Vladimir V.; Sklyanin, Evgeny K.
12
2003
Bäcklund transformations and Baxter’s \(Q\)-operator. Zbl 0969.37030
Sklyanin, E. K.
20
2000
Quantum Bäcklund transformation for the integrable DST model. Zbl 1043.81569
Kuznetsov, V. B.; Salerno, M.; Sklyanin, E. K.
17
2000
Canonicity of Bäcklund transformation: \(r\)-matrix approach. I. Zbl 0976.37042
Sklyanin, E. K.
2
2000
Generating function of correlators in the \(sl_2\) Gaudin model. Zbl 1055.82508
Sklyanin, E. K.
16
1999
Factorisation of Macdonald polynomials. Zbl 0936.33007
Kuznetsov, V. B.; Sklyanin, E. K.
3
1999
Separation of variables and integral relations for special functions. Zbl 1053.33010
Kuznetsov, V. B.; Sklyanin, E. K.
2
1999
Canonicity of Bäcklund transformation: \(r\)-matrix approach. II. Zbl 1056.37512
Sklyanin, E. K.
1
1999
On Bäcklund transformations for many-body systems. Zbl 0951.37041
Kuznetsov, V. B.; Sklyanin, E. K.
30
1998
Separation of variables for the Ruijsenaars system. Zbl 0892.58040
Kuznetsov, V. B.; Nijhoff, F. W.; Sklyanin, E. K.
20
1997
Dynamical \(r\)-matrix for the elliptic Ruijsenaars-Schneider system. Zbl 0896.35137
Nijhoff, F. W.; Kuznetsov, V. B.; Sklyanin, E. K.; Ragnisco, O.
12
1996
Separation of variables for the \(A_2\) Ruijsenaars model and a new integral representation for the \(A_2\) Macdonald polynomials. Zbl 0896.35136
Kuznetsov, V. B.; Sklyanin, E. K.
5
1996
Separation of variables in the \(A_2\) type Jack polynomials. Zbl 0899.33009
Kuznetsov, V. B.; Sklyanin, E. K.
3
1995
Dynamical \(r\)-matrices for the elliptic Calogero-Moser model. Zbl 0823.58020
Sklyanin, E. K.
5
1994
Separation of variables in the quantum integrable models related to the Yangian \(\mathcal Y [sl (3)]\). Zbl 0860.17011
Sklyanin, E. K.
14
1993
Algebraic structures related to reflection equations. Zbl 0774.17019
Kulish, P. P.; Sklyanin, E. K.
60
1992
Separation of variables in the classical integrable \(\mathrm{SL}(3)\) magnetic chain. Zbl 0764.35106
Sklyanin, E. K.
35
1992
The general \(U_ q[sl(2)]\) invariant XXZ integrable quantum spin chain. Zbl 0724.17019
Kulish, P. P.; Sklyanin, E. K.
38
1991
Separation of variables in the Gaudin model. Zbl 0692.35107
Sklyanin, E. K.
61
1989
New approach to the quantum nonlinear Schrödinger equation. Zbl 0702.35230
Sklyanin, E. K.
6
1989
Boundary conditions for integrable quantum systems. Zbl 0685.58058
Sklyanin, E. K.
339
1988
Classical limits of the SU(2)-invariant solutions of the Yang-Baxter equation. Zbl 0636.58041
Sklyanin, E. K.
17
1988
Quantization of the continuous Heisenberg ferromagnet. Zbl 0697.35157
Sklyanin, E. K.
7
1988
Boundary conditions for integrable equations. Zbl 0643.35093
Sklyanin, E. K.
49
1987
Poisson structure of classical XXZ-chain. Zbl 0685.58057
Sklyanin, E. K.
2
1987
Poisson structure of a periodic classical XYZ-chain. Zbl 0673.35095
Sklyanin, E. K.
5
1986
Poisson structure of a periodic classical XYZ chain. Zbl 0602.35109
Sklyanin, E. K.
1
1986
The quantum Toda chain. Zbl 0601.58039
Sklyanin, E. K.
38
1985
Goryachev-Chaplygin top and the inverse scattering method. Zbl 0604.70005
Sklyanin, E. K.
16
1985
On classical limits of SU(2)-invariant solutions of the Yang-Baxter equation. Zbl 0597.58049
Sklyanin, E. K.
8
1985
The Goryachev-Chaplygin top and the inverse scattering method. Zbl 0576.70002
Sklyanin, E. K.
2
1984
Some algebraic structures connected with the Yang-Baxter equation. Zbl 0513.58028
Sklyanin, E. K.
131
1983
Some algebraic structures connected with the Yang-Baxter equation. Representations of quantum algebras. Zbl 0536.58007
Sklyanin, E. K.
84
1983
Quantum spectral transform method. Recent developments. Zbl 0734.35071
Kulish, P. P.; Sklyanin, E. K.
147
1982
Solutions of the Yang-Baxter equation. Zbl 0553.58039
Kulish, P. P.; Sklyanin, E. K.
112
1982
Quantum version of the method of inverse scattering problem. Zbl 0497.35072
Sklyanin, E. K.
42
1982
Yang-Baxter equation and representation theory. I. Zbl 0502.35074
Kulish, P. P.; Reshetikhin, N. Yu.; Sklyanin, E. K.
215
1981
Quantum inverse problem method. I. Zbl 1138.37331
Sklyanin, E. K.; Takhtadzhyan, L. A.; Faddeev, L. D.
168
1980
The quantum version of the inverse scattering method. Zbl 0464.35071
Sklyanin, E. K.
39
1980
On complete integrability of the Landau-Lifshitz equation. Zbl 0449.35089
Sklyanin, E. K.
66
1979
The quantum inverse problem method. I. Zbl 0449.35096
Faddeev, L. D.; Sklyanin, E. K.; Takhtadzhyan, L. A.
18
1979
About a class of potentials for the nonstationary Dirac equation. Zbl 0426.47006
Sklyanin, E. K.
2
1978
all top 5

Cited by 246 Authors

24 Slavnov, Nikita A.
13 Ragoucy, Eric
12 Derkachëv, Sergeĭ Èduardovich
11 Pakuliak, Stanislav Z.
9 Belliard, Samuel
9 Kozlowski, Karol Kajetan
9 Niccoli, Giuliano
7 Galleas, Wellington
7 Maillet, Jean-Michel
6 Manashov, Alexander N.
5 Bazhanov, Vladimir V.
5 Foerster, Angela
5 Langmann, Edwin
5 Motegi, Kohei
5 Suris, Yuri Borisovich
5 Terras, Véronique
4 Crampé, Nicolas
4 Emsiz, Erdal
4 Karakhanyan, David
4 Kirschner, Roland
4 Kitanine, N. A.
4 Links, Jon Robert
4 Mangazeev, Vladimir V.
4 Manojlović, Nenad
4 Sklyanin, Evgeny K.
4 Vakhnenko, Oleksiy O.
4 van Diejen, Jan Felipe
4 Vicedo, Benoît
3 Bogolyubov, Nikolaĭ Mikhaĭlovich
3 Caudrelier, Vincent
3 Delduc, François
3 Doikou, Anastasia
3 Kulish, Petr Petrovich
3 Magro, Marc
3 Matushko, M. G.
3 Nazarov, Maxim Leonidovich
3 Pimenta, Rodrigo A.
3 Regelskis, Vidas
3 Skrypnyk, Taras Volodymyrovych
3 Tsyganov, Andreĭ Vladimirovich
3 Zullo, Federico
2 Avan, Jean
2 Babujian, Hratchya M.
2 Belitsky, Andrei V.
2 Bezrodnykh, Sergeĭ I.
2 Cai, Tommy Wuxing
2 Cao, Junpeng
2 Dancer, Karen A.
2 de Gier, Jan
2 Dubrovin, Boris Anatol’evich
2 Fehér, László Gy.
2 Frappat, Luc
2 Gerrard, Allan
2 Göhmann, Frank
2 Görbe, Tamás F.
2 Grosjean, Nicolas
2 Hallnäs, Martin A.
2 Hegedűs, Árpád
2 Isaac, Phillip S.
2 Isaev, Alekseĭ Petrovich
2 Jing, Naihuan
2 Karowski, Michael
2 Kazakov, Vladimir A.
2 Khoroshkin, Sergey M.
2 Korchemsky, Gregory P.
2 Koshida, Shinji
2 Kundu, Anjan
2 Leurent, Sebastien
2 Lima-Santos, Antonio
2 Litvinov, Alekseĭ Viktorovich
2 Lukyanov, Sergei L.
2 Moll, Alexander C.
2 Nekrasov, Nikita Alexandrovich
2 Nijhoff, Frank W.
2 Pasquier, Vincent
2 Petrera, Matteo
2 Pozsgay, Balázs
2 Procházka, Tomáš
2 Pusztai, Béla Gábor
2 Shatashvili, Samson L.
2 Smirnov, Fedor A.
2 Stoppato, Matteo
2 Takhtajan, Leon Armenovich
2 Tonel, Arlei Prestes
2 Tsuboi, Zengo
2 Valinevich, Pavel A.
2 Vallet, Benoit
2 Yang, Wenli
2 Ymai, L. H.
2 Zabrodin, Anton V.
2 Zotov, Andrei V.
1 Abarenkova, N. I.
1 Ablowitz, Mark Jay
1 Alba, Vasyl A.
1 Alcaraz, Francisco Castilho
1 Alekseev, Anton Yu.
1 Alexandrov, Alexander Sergeevich
1 Alim, Huseyin
1 Alsallami, S. A. M.
1 Altintas, Azmi Ali
...and 146 more Authors
all top 5

Cited in 49 Serials

36 Nuclear Physics. B
31 Journal of Mathematical Physics
25 Theoretical and Mathematical Physics
14 Journal of High Energy Physics
13 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
12 Communications in Mathematical Physics
12 Letters in Mathematical Physics
12 Journal of Statistical Mechanics: Theory and Experiment
11 Journal of Physics A: Mathematical and Theoretical
8 Journal of Mathematical Sciences (New York)
3 Physics Letters. A
3 Reviews in Mathematical Physics
3 Journal of Geometry and Physics
3 Physica D
3 Annales Henri Poincaré
2 International Journal of Theoretical Physics
2 Nonlinearity
2 Russian Mathematical Surveys
2 Advances in Mathematics
2 Journal of Combinatorial Theory. Series A
2 Journal of Algebraic Combinatorics
2 St. Petersburg Mathematical Journal
2 Integral Transforms and Special Functions
2 Regular and Chaotic Dynamics
2 Journal of Nonlinear Mathematical Physics
1 International Journal of Modern Physics A
1 Journal of Statistical Physics
1 Wave Motion
1 Chaos, Solitons and Fractals
1 The Annals of Probability
1 Journal of Algebra
1 Journal of Differential Equations
1 Proceedings of the London Mathematical Society. Third Series
1 Quarterly of Applied Mathematics
1 Studies in Applied Mathematics
1 Transactions of the Moscow Mathematical Society
1 Advances in Applied Mathematics
1 Constructive Approximation
1 Annals of Physics
1 Linear Algebra and its Applications
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 New Journal of Physics
1 International Journal of Nonlinear Sciences and Numerical Simulation
1 Theoretical and Applied Mechanics
1 Proceedings of the Steklov Institute of Mathematics
1 Advances in High Energy Physics
1 Japanese Journal of Mathematics. 3rd Series
1 Advances in Mathematical Physics
1 Afrika Matematika

Citations by Year

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