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Kulish, Petr Petrovich

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Author ID: kulish.petr-petrovich Recent zbMATH articles by "Kulish, Petr Petrovich"
Published as: Kulish, P. P.; Kulish, Petr P.; Kulish, P.; Kulish, Petr; Kulish, Petr Petrovich
Homepage: http://www.pdmi.ras.ru/ru/perso/kulish.php
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Documents Indexed: 196 Publications since 1968, including 26 Books
Biographic References: 2 Publications
all top 5

Co-Authors

52 single-authored
14 Damaskinskij, E. V.
12 Lyakhovskiĭ, Vladimir Dmitrievich
12 Popov, Viktor Nikolaevich
10 Manojlović, Nenad
9 Chaichian, Masud
9 Mudrov, Andrey I.
8 Gerdzhikov, Vladimir Stefanov
8 Zeitlin, Anton M.
7 Stolin, Alexander
6 Reshetikhin, Nikolai Yu.
6 Sokolov, M. A.
5 Sklyanin, Evgeny K.
3 Avan, Jean
3 Celeghini, Enrico
3 de Azcárraga, José A.
3 Ivanov, Maksim I.
3 Lipovskij, V. D.
3 Rodenas, Francisco
3 Rollet, Geneviève
2 Ališauskas, Sigitas
2 Bibikov, P. N.
2 Faddeev, Lyudvig Dmitrievich
2 Frappat, Luc
2 Gutshabash, Evgenii Shimonovitch
2 Maslov, Viktor Pavlovich
2 Nikitin, A. M.
2 Novikov, Sergeĭ Petrovich
2 Osipov, Yuriĭ Sergeevich
2 Ragoucy, Eric
2 Rauch-Wojciechowski, Stefan
2 Reiman, A. G.
2 Reyman, Alexey G.
2 Rubakov, Valery A.
2 Ryasichenko, P. D.
2 Samtleben, Henning
2 Tsyganov, Andreĭ Vladimirovich
2 Tureanu, Anca
1 Ananikyan, D. N.
1 Araf’eva, I. Ya.
1 Aref’eva, Irina Yaroslavna
1 Arnol’d, Vladimir Igorevich
1 Bogolyubov, Nikolaĭ Mikhaĭlovich
1 Boiti, Marco
1 Borzov, Vadim V.
1 Bukhshtaber, Viktor Matveevich
1 del Olmo, Mariano A.
1 Dëmichev, A. P.
1 Derkachëv, Sergeĭ Èduardovich
1 Dobrokhotov, Sergei Yurievich
1 Donin, Joseph
1 Fortov, Vladimir E.
1 Fring, Andreas
1 Gershtein, S. S.
1 Giachetti, Riccardo
1 Gonchar, Andreĭ Aleksandrovich
1 Hikami, Kazuhiro
1 Kholevo, Aleksandr Semënovich
1 Ibragimov, Il’dar Abdullovich
1 Il’in, M.
1 Ilyirn, M.
1 Kazakov, Dmitri I.
1 Kislyakov, Sergeĭ Vital’evich
1 Kozlov, Valeriĭ Vasil’evich
1 Libanov, M. V.
1 Lipatov, Lev N.
1 Logunov, Anatoliĭ Alekseevich
1 Marchuk, Guriĭ Ivanovich
1 Marshakov, Andrei V.
1 Mishchenko, Evgeniĭ Frolovich
1 Morozov, Alexei Yurievich
1 Nishijima, Kazuhiko
1 Nisimov, E. R.
1 Nunes da Costa, Joana Margarida M.
1 Pempinelli, Flora
1 Plakida, N. M.
1 Polyakov, Aleksandr Markovich
1 Postnova, Olga V.
1 Rivasseau, Vincent
1 Samsonov, M. E.
1 Samsonov, Maxim
1 Schwiebert, Christian
1 Semenov-Tian-Shansky, Michael A.
1 Semikhatov, Alexei M.
1 Shabat, Alekseĭ Borisovich
1 Shatashvili, Samson L.
1 Shirokov, A. V.
1 Simonov, Yuri A.
1 Simonova, V. N.
1 Sinaĭ, Yakov Grigor’evich
1 Slavyanov, Sergeĭ Yur’evich
1 Sokolov, I. A.
1 Sorace, Emanuele
1 Sorba, Paul
1 Takhtajan, Leon Armenovich
1 Tarlini, Marco
1 Tsyplyaev, S. A.
1 Tyutin, Igor Viktorovich
1 Uvarov, E. M.
1 Valinevich, Pavel A.
1 Velikhov, E. P.
...and 6 more Co-Authors

Publications by Year

Citations contained in zbMATH Open

147 Publications have been cited 1,797 times in 1,235 Documents Cited by Year
Yang-Baxter equation and representation theory. I. Zbl 0502.35074
Kulish, P. P.; Reshetikhin, N. Yu.; Sklyanin, E. K.
214
1981
Quantum spectral transform method. Recent developments. Zbl 0734.35071
Kulish, P. P.; Sklyanin, E. K.
145
1982
On a Lorentz-invariant interpretation of noncommutative space-time and its implications on noncommutative QFT. Zbl 1247.81518
Chaichian, M.; Kulish, P. P.; Nishijima, K.; Tureanu, A.
121
2004
Solutions of the Yang-Baxter equation. Zbl 0553.58039
Kulish, P. P.; Sklyanin, E. K.
108
1982
Diagonalisation of \(\text{GL}(N)\) invariant transfer matrices and quantum \(N\)-wave system (Lee model). Zbl 0545.35082
Kulish, P. P.; Reshetikhin, N. Yu.
91
1983
On the \(q\) oscillator and the quantum algebra \(\mathfrak{su}_ q(1,1)\). Zbl 0709.17012
Kulish, P. P.; Damaskinskii, E. V.
77
1990
Quantum Lie superalgebras and q-oscillators. Zbl 0764.17023
Chaichian, M.; Kulish, P.
68
1990
Universal R-matrix of the quantum superalgebra osp(2\(| 1)\). Zbl 0694.17008
Kulish, P. P.; Reshetikhin, N. Yu.
58
1989
Asymptotic conditions and infrared divergences in quantum electrodynamics. Zbl 0197.26201
Kulish, P. P.; Faddeev, L. D.
58
1970
Algebraic structures related to reflection equations. Zbl 0774.17019
Kulish, P. P.; Sklyanin, E. K.
57
1992
Quantum algebra as the dynamical symmetry of the deformed Jaynes-Cummings model. Zbl 1050.81561
Chaichian, M.; Ellinas, D.; Kulish, P.
43
1990
The general \(U_ q[sl(2)]\) invariant XXZ integrable quantum spin chain. Zbl 0724.17019
Kulish, P. P.; Sklyanin, E. K.
37
1991
Quantum difference nonlinear Schrödinger equation. Zbl 0464.35091
Kulish, P. P.
35
1981
Integrable graded magnets. Zbl 0606.58054
Kulish, P. P.
33
1986
Extended Jordanian twists for Lie algebras. Zbl 0964.81041
Kulish, P. P.; Lyakhovsky, V. D.; Mudrov, A. I.
27
1999
On spin systems related to the Temperley-Lieb algebra. Zbl 1045.81514
Kulish, P. P.
24
2003
The generating operator for the n \(\times n\) linear system. Zbl 1194.35365
Gerdjikov, V. S.; Kulish, P. P.
21
1981
On a universal solution to the reflection equation. Zbl 1042.17011
Donin, J.; Kulish, P. P.; Mudrov, A. I.
20
2003
Contraction of quantum algebras and \(q\) oscillators. Zbl 0735.17022
Kulish, P. P.
16
1991
Quadratic bundle and nonlinear equations. Zbl 0454.35071
Gerdzhikov, V. S.; Ivanov, M. I.; Kulish, P. P.
16
1981
Yang-Baxter equation and reflection equations in integrable models. Zbl 0879.58033
Kulish, P. P.
15
1996
Constant solutions of reflection equations and quantum groups. Zbl 0799.17010
Kulish, P. P.; Sasaki, R.; Schwiebert, C.
14
1993
Creation operators and Bethe vectors of the \(\text{osp}(1| 2)\) Gaudin model. Zbl 1063.82010
Kulish, P. P.; Manojlović, N.
14
2001
New rational solutions of Yang-Baxter equation and deformed Yangians. Zbl 0942.81018
Stolin, Alexander; Kulish, Petr P.
13
1997
Deformed Yangians and integrable models. Zbl 0942.81029
Kulish, P. P.; Stolin, A. A.
13
1997
Expansions over the ”squared” solutions and difference evolution equations. Zbl 0554.35118
Gerdzhikov, V. S.; Ivanov, M. I.; Kulish, P. P.
12
1984
Quantum OSP-invariant nonlinear Schrödinger equation. Zbl 0591.35068
Kulish, P. P.
11
1985
Dirac operators on the quantum group SU(2) and the quantum sphere. Zbl 0954.58004
Bibikov, P. N.; Kulish, P. P.
11
1997
Trigonometric \(\text{osp}(1|2)\) Gaudin model. Zbl 1061.82010
Kulish, P. P.; Manojlović, N.
11
2003
Superconformal field theory and SUSY \(N=1\) KdV hierarchy. II: the \(Q\)-operator. Zbl 1123.81367
Kulish, Petr P.; Zeitlin, Anton M.
11
2005
Chains of twists for classical Lie algebras. Zbl 1019.17002
Kulish, Petr P.; Lyakhovsky, Vladimir D.; del Olmo, Mariano A.
10
1999
Stationary problems for equation of the KdV type and dynamical \(r\)-matrices. Zbl 0863.58035
Kulish, P. P.; Rauch-Wojciechowski, S.; Tsiganov, A. V.
10
1996
Reflection equations and \(q\)-Minkowski space algebras. Zbl 0828.16047
de Azcárraga, J. A.; Kulish, P. P.; Rodenas, F.
10
1994
Applications of deformed oscillators. Zbl 0783.17004
Damaskinskij, E. V.; Kulish, P. P.
9
1991
Quantum symmetry algebras of spin systems related to Temperley-Lieb \(R\)-matrices. Zbl 1153.81389
Kulish, P. P.; Manojlović, N.; Nagy, Z.
9
2008
Multiplicity function for tensor powers of modules of the \(A_n\) algebra. Zbl 1281.17009
Kulish, P. P.; Lyakhovsky, V. D.; Postnova, O. V.
9
2012
Symmetries of spin systems and Birman-Wenzl-Murakami algebra. Zbl 1310.82016
Kulish, P. P.; Manojlović, N.; Nagy, Z.
8
2010
Hierarchy of symplectic forms for the Schrödinger equation and for the Dirac equation on a straight line. Zbl 0427.35064
Kulish, P. P.; Reĭman, A. G.
8
1978
Generating operators of integrable nonlinear evolution equations. Zbl 0474.35077
Kulish, P. P.
8
1980
Universal \(R\)-matrix for esoteric quantum groups. Zbl 0944.16032
Kulish, P. P.; Mudrov, A. I.
8
1999
Irreducible representations of deformed oscillator algebra and \(q\)-special functions. Zbl 0985.81552
Damaskinsky, E. V.; Kulish, P. P.
8
1997
Baxterization of solutions to reflection equation with Hecke \(R\)-matrix. Zbl 1144.16035
Kulish, P. P.; Mudrov, A. I.
8
2006
Integrable spin systems with long-range interactions. Zbl 0768.58046
Hikami, Kazuhiro; Kulish, P. P.; Wadati, Miki
7
1992
Quadratic bundle and nonlinear equations. Zbl 0439.35055
Gerdzhikov, V. S.; Ivanov, M. I.; Kulish, P. P.
7
1980
Deformed oscillators and their applications. Zbl 0744.17010
Damaskinskij, E. V.; Kulish, P. P.
7
1991
Quasi-classical limit in \(q\)-deformed systems, non-commutativity and the \(q\)-path integral. Zbl 1044.81624
Chaichian, M.; Demichev, A. P.; Kulish, P. P.
7
1997
Twist deformation of the rank-one Lie superalgebra. Zbl 0905.17010
Celeghini, E.; Kulish, P. P.
7
1998
Generalized Heisenberg ferromagnet and the Gross-Neveu model. Zbl 0437.46063
Kulish, P. P.; Reshetikhin, N. Yu.
6
1979
Gauss decomposition for quantum groups and supergroups. Zbl 0899.17002
Damaskinskij, E. V.; Kulish, P. P.; Sokolov, M. A.
6
1995
Temperley-Lieb \(R\)-matrices from generalized Hadamard matrices. Zbl 1310.82010
Avan, J.; Fonseca, T.; Frappat, L.; Kulish, P. P.; Ragoucy, E.; Rollet, G.
6
2014
Jordanian twists on deformed carrier subspaces. Zbl 0966.17010
Kulish, Petr P.; Lyakhovsky, Vladimir D.
6
2000
Reflection \(K\)-matrices related to Temperley-Lieb \(R\)-matrices. Zbl 1274.82006
Avan, J.; Kulish, P. P.; Rollet, G.
6
2011
Integrable structure of superconformal field theory and quantum super-KdV theory. Zbl 1246.81074
Kulish, Petr P.; Zeitlin, Anton M.
6
2004
Inverse scattering problem for the Schrödinger equation on the axis. Zbl 0176.04501
Kulish, P. P.
6
1968
Superconformal field theory and SUSY \(N=1\) KdV hierarchy. I: Vertex operators and Yang-Baxter equation. Zbl 1123.81368
Kulish, Petr P.; Zeitlin, Anton M.
6
2004
Restricted flows of the KdV hierarchy and \(r\)-matrix formalism. Zbl 1015.37502
Kulish, P. P.; Rauch-Wojciechowski, S.; Tsiganov, A. V.
6
1994
Group-theoretical structure and the inverse scattering method for the super-KdV equation. Zbl 1068.35134
Kulish, P. P.; Zeitlin, A. M.
5
2002
Quantum groups, \(q\) oscillators, and covariant algebras. Zbl 0973.17503
Kulish, P. P.
5
1993
On calculation of generating functions of Chebyshev polynomials in several variables. Zbl 1317.05012
Damaskinsky, E. V.; Kulish, P. P.; Sokolov, M. A.
5
2015
Dynamical reflection equation. Zbl 1144.17011
Kulish, P. P.; Mudrov, A. I.
5
2007
Quantum supersymmetric Toda–mKdV hierarchies. Zbl 1194.81124
Kulish, Petr P.; Zeitlin, Anton M.
5
2005
Anomalies of quantum currents in exactly solvable models. Zbl 0412.35063
Kulish, P. P.; Nisimov, E. R.
4
1977
Integrable spin chains and representation theory. Zbl 1297.81167
Kulish, P. P.
4
2013
Construction of eigenfunctions for a system of quantum minors of the monodromy matrix for an \(\mathrm{SL}(n,\mathbb{C})\)-invariant spin chain. Zbl 1362.82013
Valinevich, P. A.; Derkachov, S. É.; Kulish, P. P.; Uvarov, E. M.
4
2016
Super-KdV equation: classical solutions and quantization. Zbl 1354.35130
Kulish, Petr P.; Zeitlin, Anton M.
4
2004
The quantum superalgebra \(\mathrm{osp}(2\vert 1)\). Zbl 0672.17007
Kulish, P. P.
4
1988
Full chains of twists for orthogonal algebras. Zbl 1050.81563
Kulish, Petr P.; Lyakhovsky, Vladimir D.; Stolin, Alexander
4
2000
Bethe vectors of the \(\text{osp}(1\mid 2)\) Gaudin model. Zbl 1052.82011
Kulish, P. P.; Manojlović, N.
4
2001
On twisting solutions to the Yang-Baxter equation. Zbl 0978.81045
Kulish, P. P.; Mudrov, A. I.
4
2000
Twist of quantum groups and noncommutative field theory. Zbl 1116.81065
Kulish, P. P.
4
2006
Twisting adjoint module algebras. Zbl 1211.81078
Kulish, Petr; Mudrov, Andrey
4
2011
Jordanian deformation of the open XXX spin chain. Zbl 1252.82030
Kulish, P. P.; Manojlović, N.; Nagy, Z.
4
2010
Tetrahedron reflection equations. Zbl 1020.82555
Isaev, A. P.; Kulish, P. P.
4
1997
Conservation laws for a string in a static field. Zbl 0412.53016
Kulish, P. P.
3
1978
Hopf superalgebra contractions and \(R\)-matrix for fermions. Zbl 0767.17006
Celeghini, E.; Giachetti, R.; Kulish, P. P.; Sorace, E.; Tarlini, M.
3
1991
Quantum groups. Proceedings of workshops, held in the Euler International Mathematical Institute, Leningrad, USSR, Fall 1990. Zbl 0741.00068
Kulish, P. P. (ed.)
3
1992
Multicomponent nonlinear Schrödinger equation in the case of nonzero boundary conditions. Zbl 0568.35084
Gerdzhikov, V. S.; Kulish, P. P.
3
1985
Generalized Bethe ansatz and quantum inverse problem method. Zbl 0443.35058
Kulish, P. P.
3
1979
The two-parametric quantum group and gauge transformation. Zbl 0709.17011
Kulish, P. P.
3
1990
On the action-angle variables for the multicomponent nonlinear Schrödinger equation. Zbl 0505.35029
Kulish, P. P.
3
1982
Hamiltonian structure of polynomial pencils. Zbl 0511.47010
Kulish, P. P.; Reĭman, A. G.
3
1983
Construction of the spectral measure for deformed oscillator position operator in the case of undetermined Hamburger moment problem. Zbl 1044.81067
Borzov, V. V.; Damaskinsky, E. V.; Kulish, P. P.
3
2000
Representations of \(q\)-Minkowski space algebra. Zbl 0832.17016
Kulish, P. P.
3
1994
Exactly solvable models of quantum nonlinear optics. Zbl 1276.81120
Bogoliubov, N. M.; Kulish, P. P.
3
2013
Quantum nonlinear wave interaction system. Zbl 0617.58050
Kulish, P. P.
3
1986
Deformation of orthosymplectic Lie superalgebra osp\((1/4)\). Zbl 1056.17024
Celeghini, Enrico; Kulish, Petr P.
3
2004
Twists in \(U(\mathfrak{sl}_3)\) and their quantizations. Zbl 1122.17010
Kulish, P. P.; Lyakhovsky, V. D.; Samsonov, M. E.
3
2006
From quantum affine symmetry to the boundary Askey-Wilson algebra and the reflection equation. Zbl 1148.82005
Aneva, B.; Chaichian, M.; Kulish, P. P.
3
2008
Editorial: In memoriam Daniel Arnaudon. Zbl 1104.01313
Frappat, Luc; Kulish, Petr; Ragoucy, Eric; Rivasseau, Vincent; Sorba, Paul
3
2006
Noncommutative fields and actions of twisted Poincaré algebra. Zbl 1152.81367
Chaichian, M.; Kulish, P. P.; Tureanu, A.; Zhang, R. B.; Zhang, Xiao
3
2008
Bethe ansatz for the deformed Gaudin model. Zbl 1208.82008
Kulish, Petr; Manojlović, Nenad; Samsonov, Maxim; Stolin, Alexander
3
2010
Quantum groups and deformed special relativity. Zbl 1043.81584
de Azcárraga, J. A.; Kulish, P. P.; Rodenas, F.
3
1996
Twist-related geometries on \(q\)-Minkowski space. Zbl 0982.81026
Kulish, P. P.; Mudrov, A. I.
3
1999
Construction of a universal twist element from an \(R\)-matrix. Zbl 1070.16043
Stolin, A. A.; Kulish, P. P.; Damaskinsky, E. V.
2
2003
On the multicomponent nonlinear Schrödinger equation in the case of non- vanishing boundary conditions. Zbl 0522.35083
Gerdzhikov, V. S.; Kulish, P. P.
2
1983
On recent progress in quantum groups: An introductory review. Zbl 0778.17008
Kulish, P. P.
2
1993
Representation of the Zamolodchikov-Faddeev algebra. Zbl 0532.47032
Kulish, P. P.
2
1984
Massive Thirring model with field values in Grassmann’s algebra. Zbl 0426.35085
Izergin, A. G.; Kulish, P. P.
2
1978
Quantum superalgebra \(\mathrm{osp}(2|1)\). Zbl 0725.17017
Kulish, P. P.
2
1991
Generating operators for integrable nonlinear evolution equations. Zbl 0509.35068
Kulish, P. P.
2
1983
Construction of eigenfunctions for a system of quantum minors of the monodromy matrix for an \(\mathrm{SL}(n,\mathbb{C})\)-invariant spin chain. Zbl 1362.82013
Valinevich, P. A.; Derkachov, S. É.; Kulish, P. P.; Uvarov, E. M.
4
2016
On calculation of generating functions of Chebyshev polynomials in several variables. Zbl 1317.05012
Damaskinsky, E. V.; Kulish, P. P.; Sokolov, M. A.
5
2015
Temperley-Lieb \(R\)-matrices from generalized Hadamard matrices. Zbl 1310.82010
Avan, J.; Fonseca, T.; Frappat, L.; Kulish, P. P.; Ragoucy, E.; Rollet, G.
6
2014
Ludvig Dmitrievich Faddeev (on his 80th birthday). Zbl 1311.01030
Aref’eva, I. Ya.; Buchstaber, V. M.; Velikhov, E. P.; Zhizhchenko, A. B.; Zakharov, V. E.; Ibragimov, I. A.; Kislyakov, S. V.; Kozlov, V. V.; Kulish, P. P.; Lipatov, L. N.; Maslov, V. P.; Matveev, V. A.; Novikov, S. P.; Osipov, Yu. S.; Polyakov, A. M.; Rubakov, V. A.; Semenov-Tian-Shansky, M. A.; Simonov, Yu. A.; Sinai, Ya. G.; Slavnov, A. A.; Sokolov, I. A.; Takhtajan, L. A.; Fortov, V. E.; Shatashvili, S. L.
1
2014
Reflection matrices from Hadamard-type Temperley-Lieb \(R\)-matrices. Zbl 1310.82011
Avan, J.; Kulish, P. P.; Rollet, G.
1
2014
Integrable spin chains and representation theory. Zbl 1297.81167
Kulish, P. P.
4
2013
Exactly solvable models of quantum nonlinear optics. Zbl 1276.81120
Bogoliubov, N. M.; Kulish, P. P.
3
2013
Multiplicity function for tensor powers of modules of the \(A_n\) algebra. Zbl 1281.17009
Kulish, P. P.; Lyakhovsky, V. D.; Postnova, O. V.
9
2012
Reflection \(K\)-matrices related to Temperley-Lieb \(R\)-matrices. Zbl 1274.82006
Avan, J.; Kulish, P. P.; Rollet, G.
6
2011
Twisting adjoint module algebras. Zbl 1211.81078
Kulish, Petr; Mudrov, Andrey
4
2011
Symmetries of spin systems and Birman-Wenzl-Murakami algebra. Zbl 1310.82016
Kulish, P. P.; Manojlović, N.; Nagy, Z.
8
2010
Jordanian deformation of the open XXX spin chain. Zbl 1252.82030
Kulish, P. P.; Manojlović, N.; Nagy, Z.
4
2010
Bethe ansatz for the deformed Gaudin model. Zbl 1208.82008
Kulish, Petr; Manojlović, Nenad; Samsonov, Maxim; Stolin, Alexander
3
2010
The three-magnon problem and integrability of rung-dimerized spin ladders. Zbl 1288.82021
Bibikov, P. N.; Kulish, P. P.
2
2010
Folded fans and string functions. Zbl 1288.17015
Ilyirn, M.; Kulish, P.; Lyakhovsky, V.
2
2010
On certain properties of branching coefficients for affine Lie algebras. Zbl 1244.17014
Il’in, M.; Kulish, P.; Lyakhovskiĭ, V.
2
2010
Quantum symmetry algebras of spin systems related to Temperley-Lieb \(R\)-matrices. Zbl 1153.81389
Kulish, P. P.; Manojlović, N.; Nagy, Z.
9
2008
From quantum affine symmetry to the boundary Askey-Wilson algebra and the reflection equation. Zbl 1148.82005
Aneva, B.; Chaichian, M.; Kulish, P. P.
3
2008
Noncommutative fields and actions of twisted Poincaré algebra. Zbl 1152.81367
Chaichian, M.; Kulish, P. P.; Tureanu, A.; Zhang, R. B.; Zhang, Xiao
3
2008
Algebraic Bethe ansatz for a seven-vertex model. Zbl 1288.82023
Kulish, P. P.; Ryasichenko, P. D.
2
2008
Models solvable by Bethe ansatz. Zbl 1154.82307
Kulish, Petr P.
2
2008
String functions for affine Lie algebras integrable modules. Zbl 1215.17017
Kulish, Petr; Lyakhovsky, Vladimir
2
2008
Dynamical reflection equation. Zbl 1144.17011
Kulish, P. P.; Mudrov, A. I.
5
2007
Baxterization of solutions to reflection equation with Hecke \(R\)-matrix. Zbl 1144.16035
Kulish, P. P.; Mudrov, A. I.
8
2006
Twist of quantum groups and noncommutative field theory. Zbl 1116.81065
Kulish, P. P.
4
2006
Twists in \(U(\mathfrak{sl}_3)\) and their quantizations. Zbl 1122.17010
Kulish, P. P.; Lyakhovsky, V. D.; Samsonov, M. E.
3
2006
Editorial: In memoriam Daniel Arnaudon. Zbl 1104.01313
Frappat, Luc; Kulish, Petr; Ragoucy, Eric; Rivasseau, Vincent; Sorba, Paul
3
2006
Superconformal field theory and SUSY \(N=1\) KdV hierarchy. II: the \(Q\)-operator. Zbl 1123.81367
Kulish, Petr P.; Zeitlin, Anton M.
11
2005
Quantum supersymmetric Toda–mKdV hierarchies. Zbl 1194.81124
Kulish, Petr P.; Zeitlin, Anton M.
5
2005
Spin chain connected to the quantum superalgebra \(\text{sl}_q(1| 1)\). Zbl 1082.17009
Kulish, P. P.; Ryasichenko, P. D.
2
2005
Quantum inverse scattering method and (super)conformal field theory. Zbl 1178.81237
Kulish, P. P.; Zeitlin, A. M.
2
2005
Noncommutative geometry and quantum field theory. Zbl 1220.81170
Kulish, Petr P.
2
2005
On a Lorentz-invariant interpretation of noncommutative space-time and its implications on noncommutative QFT. Zbl 1247.81518
Chaichian, M.; Kulish, P. P.; Nishijima, K.; Tureanu, A.
121
2004
Integrable structure of superconformal field theory and quantum super-KdV theory. Zbl 1246.81074
Kulish, Petr P.; Zeitlin, Anton M.
6
2004
Superconformal field theory and SUSY \(N=1\) KdV hierarchy. I: Vertex operators and Yang-Baxter equation. Zbl 1123.81368
Kulish, Petr P.; Zeitlin, Anton M.
6
2004
Super-KdV equation: classical solutions and quantization. Zbl 1354.35130
Kulish, Petr P.; Zeitlin, Anton M.
4
2004
Deformation of orthosymplectic Lie superalgebra osp\((1/4)\). Zbl 1056.17024
Celeghini, Enrico; Kulish, Petr P.
3
2004
Quantization of integrable models with hidden symmetries: super-KdV equation. Zbl 1058.37531
Kulish, Petr P.; Zeitlin, Anton M.
1
2004
On spin systems related to the Temperley-Lieb algebra. Zbl 1045.81514
Kulish, P. P.
24
2003
On a universal solution to the reflection equation. Zbl 1042.17011
Donin, J.; Kulish, P. P.; Mudrov, A. I.
20
2003
Trigonometric \(\text{osp}(1|2)\) Gaudin model. Zbl 1061.82010
Kulish, P. P.; Manojlović, N.
11
2003
Construction of a universal twist element from an \(R\)-matrix. Zbl 1070.16043
Stolin, A. A.; Kulish, P. P.; Damaskinsky, E. V.
2
2003
Full chains of twists for symplectic algebras. Zbl 1036.17011
Ananikyan, D. N.; Kulish, P. P.; Lyakhovskiĭ, V. D.
2
2003
Quantum groups and integrable models. Zbl 1064.81515
Kulish, Petr P.
1
2003
Group-theoretical structure and the inverse scattering method for the super-KdV equation. Zbl 1068.35134
Kulish, P. P.; Zeitlin, A. M.
5
2002
Simultaneous quantization of three-dimensional bialgebras. Zbl 1095.17005
Damaskinsky, E. V.; Kulish, P. P.; Sokolov, M. A.
1
2002
Twists in Hopf algebras and \(RT_1T_2=T_2T_1\) relations. Zbl 1051.16022
Kulish, P. P.; Stolin, A.
1
2002
Spin Hamiltonians, quantum groups and reaction-diffusion processes. Zbl 1048.81036
Chaichian, Masud; Kulish, Petr P.
1
2002
Quantization of inhomogeneous Lie bialgebras. Zbl 1027.17014
Kulish, P. P.; Mudrov, A. I.
1
2002
Creation operators and Bethe vectors of the \(\text{osp}(1| 2)\) Gaudin model. Zbl 1063.82010
Kulish, P. P.; Manojlović, N.
14
2001
Bethe vectors of the \(\text{osp}(1\mid 2)\) Gaudin model. Zbl 1052.82011
Kulish, P. P.; Manojlović, N.
4
2001
Chains of Frobenius subalgebras of so\((M)\) and the corresponding twists. Zbl 1032.17018
Lyakhovsky, Vladimir D.; Stolin, Alexander; Kulish, Petr P.
2
2001
Jordanian twists on deformed carrier subspaces. Zbl 0966.17010
Kulish, Petr P.; Lyakhovsky, Vladimir D.
6
2000
Full chains of twists for orthogonal algebras. Zbl 1050.81563
Kulish, Petr P.; Lyakhovsky, Vladimir D.; Stolin, Alexander
4
2000
On twisting solutions to the Yang-Baxter equation. Zbl 0978.81045
Kulish, P. P.; Mudrov, A. I.
4
2000
Construction of the spectral measure for deformed oscillator position operator in the case of undetermined Hamburger moment problem. Zbl 1044.81067
Borzov, V. V.; Damaskinsky, E. V.; Kulish, P. P.
3
2000
Twisting of quantum groups and integrable systems. Zbl 0965.35139
Kulish, P. P.
2
2000
Invariants of \(B\)-type links via an extension of the Kauffman bracket. Zbl 1023.57010
Kulish, P. P.; Nikitin, A. M.
1
2000
Extended Jordanian twists for Lie algebras. Zbl 0964.81041
Kulish, P. P.; Lyakhovsky, V. D.; Mudrov, A. I.
27
1999
Chains of twists for classical Lie algebras. Zbl 1019.17002
Kulish, Petr P.; Lyakhovsky, Vladimir D.; del Olmo, Mariano A.
10
1999
Universal \(R\)-matrix for esoteric quantum groups. Zbl 0944.16032
Kulish, P. P.; Mudrov, A. I.
8
1999
Twist-related geometries on \(q\)-Minkowski space. Zbl 0982.81026
Kulish, P. P.; Mudrov, A. I.
3
1999
Symmetries related to Yang-Baxter equation and reflection equations. Zbl 1229.81294
Kulish, P. P.
2
1999
Twist deformation of the rank-one Lie superalgebra. Zbl 0905.17010
Celeghini, E.; Kulish, P. P.
7
1998
Classical and quantum duality in Jordanian quantizations. Zbl 0948.81018
Kulish, P. P.; Lyakhovsky, V. D.
1
1998
Twisting of quantum groups and integrable models. Zbl 0972.81070
Kulish, P. P.
1
1998
New rational solutions of Yang-Baxter equation and deformed Yangians. Zbl 0942.81018
Stolin, Alexander; Kulish, Petr P.
13
1997
Deformed Yangians and integrable models. Zbl 0942.81029
Kulish, P. P.; Stolin, A. A.
13
1997
Dirac operators on the quantum group SU(2) and the quantum sphere. Zbl 0954.58004
Bibikov, P. N.; Kulish, P. P.
11
1997
Irreducible representations of deformed oscillator algebra and \(q\)-special functions. Zbl 0985.81552
Damaskinsky, E. V.; Kulish, P. P.
8
1997
Quasi-classical limit in \(q\)-deformed systems, non-commutativity and the \(q\)-path integral. Zbl 1044.81624
Chaichian, M.; Demichev, A. P.; Kulish, P. P.
7
1997
Tetrahedron reflection equations. Zbl 1020.82555
Isaev, A. P.; Kulish, P. P.
4
1997
Yang-Baxter equation and reflection equations in integrable models. Zbl 0879.58033
Kulish, P. P.
15
1996
Stationary problems for equation of the KdV type and dynamical \(r\)-matrices. Zbl 0863.58035
Kulish, P. P.; Rauch-Wojciechowski, S.; Tsiganov, A. V.
10
1996
Quantum groups and deformed special relativity. Zbl 1043.81584
de Azcárraga, J. A.; Kulish, P. P.; Rodenas, F.
3
1996
Quantum group covariant systems. Zbl 1058.81556
Chaichian, M.; Kulish, P. P.
2
1996
Quantum group covariant algebras. Zbl 0860.17018
Kulish, P. P.
1
1996
Gauss decomposition for quantum groups and supergroups. Zbl 0899.17002
Damaskinskij, E. V.; Kulish, P. P.; Sokolov, M. A.
6
1995
Gauss decomposition of quantum groups and supergroups. Zbl 0886.17016
Damaskinskij, E. V.; Kulish, P. P.; Sokolov, M. A.
1
1995
Lyudvig Dmitrievich Faddeev (on his sixtieth birthday). Zbl 0847.01018
Osipov, Yu. S.; Gonchar, A. A.; Novikov, S. P.; Arnol’d, V. I.; Marchuk, G. I.; Kulish, P. P.; Vladimirov, V. S.; Mishchenko, E. F.
1
1995
Dirac-like formulation of \(q\)-Lorentz groups. Zbl 0895.17015
de Azcárraga, J. A.; Kulish, P. P.; Rodenas, F.
1
1995
Reflection equations and \(q\)-Minkowski space algebras. Zbl 0828.16047
de Azcárraga, J. A.; Kulish, P. P.; Rodenas, F.
10
1994
Restricted flows of the KdV hierarchy and \(r\)-matrix formalism. Zbl 1015.37502
Kulish, P. P.; Rauch-Wojciechowski, S.; Tsiganov, A. V.
6
1994
Representations of \(q\)-Minkowski space algebra. Zbl 0832.17016
Kulish, P. P.
3
1994
Constant solutions of reflection equations and quantum groups. Zbl 0799.17010
Kulish, P. P.; Sasaki, R.; Schwiebert, C.
14
1993
Quantum groups, \(q\) oscillators, and covariant algebras. Zbl 0973.17503
Kulish, P. P.
5
1993
On recent progress in quantum groups: An introductory review. Zbl 0778.17008
Kulish, P. P.
2
1993
Reflection equation algebras and quantum groups. Zbl 0843.17007
Kulish, P. P.
2
1993
Covariant non-commutative differential geometry. Zbl 0817.46069
Kulish, P. P.
1
1993
Covariant noncommutative differential geometry. Zbl 0860.46047
Kulish, P. P.
1
1993
Algebraic structures related to reflection equations. Zbl 0774.17019
Kulish, P. P.; Sklyanin, E. K.
57
1992
Integrable spin systems with long-range interactions. Zbl 0768.58046
Hikami, Kazuhiro; Kulish, P. P.; Wadati, Miki
7
1992
Quantum groups. Proceedings of workshops, held in the Euler International Mathematical Institute, Leningrad, USSR, Fall 1990. Zbl 0741.00068
Kulish, P. P.
3
1992
Hermite \(q\)-polynomials and \(q\)-oscillators. Zbl 0929.33015
Damaskinskij, E. V.; Kulish, P. P.
1
1992
The general \(U_ q[sl(2)]\) invariant XXZ integrable quantum spin chain. Zbl 0724.17019
Kulish, P. P.; Sklyanin, E. K.
37
1991
Contraction of quantum algebras and \(q\) oscillators. Zbl 0735.17022
Kulish, P. P.
16
1991
Applications of deformed oscillators. Zbl 0783.17004
Damaskinskij, E. V.; Kulish, P. P.
9
1991
Deformed oscillators and their applications. Zbl 0744.17010
Damaskinskij, E. V.; Kulish, P. P.
7
1991
Hopf superalgebra contractions and \(R\)-matrix for fermions. Zbl 0767.17006
Celeghini, E.; Giachetti, R.; Kulish, P. P.; Sorace, E.; Tarlini, M.
3
1991
Quantum superalgebra \(\mathrm{osp}(2|1)\). Zbl 0725.17017
Kulish, P. P.
2
1991
...and 47 more Documents
all top 5

Cited by 1,239 Authors

45 Kulish, Petr Petrovich
32 Ragoucy, Eric
24 Derkachëv, Sergeĭ Èduardovich
20 Xue, Kang
18 Gerdzhikov, Vladimir Stefanov
18 Pakuliak, Stanislav Z.
17 Reshetikhin, Nikolai Yu.
17 Slavnov, Nikita A.
16 Kirschner, Roland
16 Mudrov, Andrey I.
16 Nepomechie, Rafael I.
15 Crampé, Nicolas
14 Manojlović, Nenad
13 Doikou, Anastasia
13 Tarasov, Vitaly Olegovich
12 Damaskinskij, E. V.
12 Daszkiewicz, Marcin
12 Frappat, Luc
12 Lyakhovskiĭ, Vladimir Dmitrievich
12 Tsuboi, Zengo
11 Avan, Jean
11 Bogolyubov, Nikolaĭ Mikhaĭlovich
11 Gould, Mark D.
11 Varchenko, Alexander Nikolaevich
11 Zhang, Ruibin
10 Balachandran, Aiyalam P.
10 Borowiec, Andrzej Zdzisław
10 Ge, Molin
10 Gurevich, Dmitrii
10 Khoroshkin, Sergey M.
10 Lukierski, Jerzy
10 Tolstoĭ, Valeriĭ Nikolaevich
10 Wang, Gangcheng
9 Lima-Santos, Antonio
9 Niccoli, Giuliano
9 Saponov, Pavel A.
9 Valinevich, Pavel A.
9 Yang, Wenli
8 Borzov, Vadim V.
8 Kazakov, Vladimir A.
8 Kirillov, Anatol N.
8 Meljanac, Stjepan
8 Molev, Alexander I.
8 Okado, Masato
8 Stolin, Alexander
8 Sun, Chunfang
8 Zhang, Yaozhong
7 António, N. Cirilo
7 Bazhanov, Vladimir V.
7 Chaichian, Masud
7 Chung, Won-Sang
7 Fakhri, Hossein
7 Jimbo, Michio
7 Kuniba, Atsuo
7 Links, Jon Robert
7 Maillet, Jean-Michel
7 Mukhin, Evgeny
7 Nazarov, Maxim Leonidovich
7 Regelskis, Vidas
7 Shi, Kangjie
7 Tsyganov, Andreĭ Vladimirovich
7 Vinet, Luc
7 Zabrodin, Anton V.
6 Akhoury, Ratindranath
6 Bytsko, Andrei G.
6 Cherednik, Ivan V.
6 Frahm, Holger
6 Grahovski, Georgi G.
6 Hu, Taotao
6 Konopelchenko, Boris Georgievich
6 Mozrzymas, Marek
6 Palev, Tchavdar D.
6 Petrov, Leonid
6 Spiridonov, Vyacheslav Pavlovich
6 Terras, Véronique
6 Volin, Dmytro
6 Yoshida, Kentaroh
6 Zhao, Shaoyou
6 Zhou, Chengcheng
5 Arnaudon, Daniel
5 Aschieri, Paolo
5 Cao, Junpeng
5 Choi, Sangmin
5 Dobrev, Vladimir K.
5 Floreanini, Roberto
5 Gromov, Nikolay
5 Gutkin, Eugene
5 Hao, Kun
5 Hayashi, Takahiro
5 Karaiskos, Nikos
5 Leurent, Sebastien
5 Manashov, Alexander N.
5 Mangazeev, Vladimir V.
5 Pimenta, Rodrigo A.
5 Salom, Igor
5 Silvestrov, Sergei D.
5 Staudacher, Matthias
5 Tureanu, Anca
5 Vakhnenko, Oleksiy O.
5 Zeng, Yunbo
...and 1,139 more Authors
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Cited in 133 Serials

183 Journal of Mathematical Physics
111 Theoretical and Mathematical Physics
109 Nuclear Physics. B
87 Communications in Mathematical Physics
86 Journal of High Energy Physics
67 Letters in Mathematical Physics
43 International Journal of Modern Physics A
35 Journal of Soviet Mathematics
35 Journal of Statistical Mechanics: Theory and Experiment
30 Modern Physics Letters A
30 Journal of Mathematical Sciences (New York)
27 Journal of Geometry and Physics
24 Journal of Physics A: Mathematical and Theoretical
22 International Journal of Theoretical Physics
14 The European Physical Journal C. Particles and Fields
14 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
13 Advances in Mathematics
13 St. Petersburg Mathematical Journal
12 Journal of Statistical Physics
12 Physical Review Letters
11 International Journal of Modern Physics B
11 Journal of Algebra
11 Physica D
10 Functional Analysis and its Applications
10 International Journal of Geometric Methods in Modern Physics
8 Reviews in Mathematical Physics
8 Annales Henri Poincaré
6 Acta Applicandae Mathematicae
6 Selecta Mathematica. New Series
6 Journal of Nonlinear Mathematical Physics
6 Quantum Information Processing
5 Classical and Quantum Gravity
5 General Relativity and Gravitation
5 Chaos, Solitons and Fractals
5 Journal of Modern Optics
5 Czechoslovak Journal of Physics
5 Advances in High Energy Physics
4 Communications in Algebra
4 Ukrainian Mathematical Journal
4 Algebras and Representation Theory
4 International Journal of Quantum Information
3 Modern Physics Letters B
3 Israel Journal of Mathematics
3 Journal of Mathematical Analysis and Applications
3 Reports on Mathematical Physics
3 Duke Mathematical Journal
3 Publications of the Research Institute for Mathematical Sciences, Kyoto University
3 Transformation Groups
3 Mathematical Physics, Analysis and Geometry
2 Artificial Intelligence
2 Nonlinearity
2 Physics Letters. A
2 Physics Letters. B
2 Russian Mathematical Surveys
2 Applied Mathematics and Computation
2 Journal of Functional Analysis
2 Journal of Pure and Applied Algebra
2 Mathematics and Computers in Simulation
2 Proceedings of the Japan Academy. Series A
2 Studies in Applied Mathematics
2 Annals of Physics
2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
2 New Journal of Physics
2 Foundations of Physics
2 Journal of Noncommutative Geometry
2 Zeitschrift für Physik, C
1 Bulletin of the Australian Mathematical Society
1 Computers & Mathematics with Applications
1 Computer Physics Communications
1 Linear and Multilinear Algebra
1 Rocky Mountain Journal of Mathematics
1 Wave Motion
1 Fortschritte der Physik
1 Algebra and Logic
1 International Journal of Mathematics and Mathematical Sciences
1 Inventiones Mathematicae
1 Journal of Approximation Theory
1 Journal of Computational and Applied Mathematics
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Zeitschrift
1 Monatshefte für Mathematik
1 Osaka Journal of Mathematics
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Tohoku Mathematical Journal. Second Series
1 Transactions of the American Mathematical Society
1 Chinese Annals of Mathematics. Series B
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Acta Mathematicae Applicatae Sinica. English Series
1 Japan Journal of Applied Mathematics
1 Probability Theory and Related Fields
1 Forum Mathematicum
1 Science in China. Series A
1 Communications in Partial Differential Equations
1 Bulletin of the American Mathematical Society. New Series
1 Expositiones Mathematicae
1 Journal of Knot Theory and its Ramifications
1 Journal of Algebraic Combinatorics
1 International Journal of Modern Physics D
1 Russian Journal of Mathematical Physics
1 Georgian Mathematical Journal
...and 33 more Serials
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Cited in 51 Fields

807 Quantum theory (81-XX)
472 Nonassociative rings and algebras (17-XX)
304 Statistical mechanics, structure of matter (82-XX)
214 Associative rings and algebras (16-XX)
139 Dynamical systems and ergodic theory (37-XX)
138 Partial differential equations (35-XX)
97 Relativity and gravitational theory (83-XX)
66 Differential geometry (53-XX)
54 Group theory and generalizations (20-XX)
49 Special functions (33-XX)
49 Global analysis, analysis on manifolds (58-XX)
45 Algebraic geometry (14-XX)
41 Functional analysis (46-XX)
38 Topological groups, Lie groups (22-XX)
31 Mechanics of particles and systems (70-XX)
26 Linear and multilinear algebra; matrix theory (15-XX)
24 Operator theory (47-XX)
21 Combinatorics (05-XX)
20 Ordinary differential equations (34-XX)
15 Probability theory and stochastic processes (60-XX)
14 Manifolds and cell complexes (57-XX)
13 Category theory; homological algebra (18-XX)
12 Difference and functional equations (39-XX)
7 Several complex variables and analytic spaces (32-XX)
6 Number theory (11-XX)
6 Numerical analysis (65-XX)
6 Optics, electromagnetic theory (78-XX)
5 Approximations and expansions (41-XX)
5 Integral equations (45-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Algebraic topology (55-XX)
4 Statistics (62-XX)
4 Computer science (68-XX)
4 Classical thermodynamics, heat transfer (80-XX)
3 History and biography (01-XX)
3 Mathematical logic and foundations (03-XX)
3 \(K\)-theory (19-XX)
3 Functions of a complex variable (30-XX)
3 Information and communication theory, circuits (94-XX)
2 General algebraic systems (08-XX)
2 Commutative algebra (13-XX)
2 Real functions (26-XX)
2 Integral transforms, operational calculus (44-XX)
2 Geometry (51-XX)
2 General topology (54-XX)
2 Fluid mechanics (76-XX)
2 Astronomy and astrophysics (85-XX)
1 Sequences, series, summability (40-XX)
1 Abstract harmonic analysis (43-XX)
1 Mechanics of deformable solids (74-XX)
1 Mathematics education (97-XX)

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