Edit Profile (opens in new tab) Kulish, Petr Petrovich Compute Distance To: Compute Author ID: kulish.petr-petrovich Published as: Kulish, P. P.; Kulish, Petr P.; Kulish, P.; Kulish, Petr; Kulis, P. P. more...less Homepage: http://www.pdmi.ras.ru/ru/perso/kulish.php External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef Documents Indexed: 167 Publications since 1968, including 2 Books 31 Contributions as Editor · 1 Further Contribution Biographic References: 2 Publications Co-Authors: 106 Co-Authors with 138 Joint Publications 3,011 Co-Co-Authors all top 5 Co-Authors 53 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. 4 Reyman, Alexey G. 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 Nisimov, E. R. 2 Novikov, Sergeĭ Petrovich 2 Osipov, Yuriĭ Sergeevich 2 Ragoucy, Eric 2 Rauch-Wojciechowski, Stefan 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 Isaev, Alekseĭ Petrovich 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 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-Tyan-Shanskiĭ, Mikhail Arsen’evich 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 all top 5 Serials 28 Journal of Mathematical Sciences (New York) 17 Journal of Soviet Mathematics 16 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 14 Theoretical and Mathematical Physics 11 Journal of Mathematical Physics 11 Journal of Physics A: Mathematical and General 10 Letters in Mathematical Physics 8 Zapiski Nauchnykh Seminarov POMI 6 Czechoslovak Journal of Physics 4 Physics Letters. B 4 Teoreticheskaya i Matematicheskaya Fizika 3 Physica D 3 St. Petersburg Mathematical Journal 2 Modern Physics Letters A 2 Nuclear Physics. B 2 Russian Mathematical Surveys 2 Journal of Physics A: Mathematical and Theoretical 1 International Journal of Modern Physics A 1 International Journal of Modern Physics B 1 Mathematical Notes 1 Physics Letters. A 1 Reviews in Mathematical Physics 1 Chaos, Solitons and Fractals 1 Journal of Geometry and Physics 1 Fortschritte der Physik 1 Annales Henri Poincaré 1 Physical Review Letters 1 Journal of Modern Optics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Lecture Notes in Mathematics 1 Progress in Mathematics 1 Journal of Generalized Lie Theory and Applications 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Proceedings of the Estonian Academy of Sciences all top 5 Fields 124 Quantum theory (81-XX) 73 Nonassociative rings and algebras (17-XX) 57 Statistical mechanics, structure of matter (82-XX) 41 Partial differential equations (35-XX) 34 Associative rings and algebras (16-XX) 32 General and overarching topics; collections (00-XX) 22 Dynamical systems and ergodic theory (37-XX) 13 Operator theory (47-XX) 13 Global analysis, analysis on manifolds (58-XX) 12 Fluid mechanics (76-XX) 9 Differential geometry (53-XX) 8 Functional analysis (46-XX) 6 Special functions (33-XX) 4 History and biography (01-XX) 4 Relativity and gravitational theory (83-XX) 3 Topological groups, Lie groups (22-XX) 3 Ordinary differential equations (34-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Difference and functional equations (39-XX) 2 Manifolds and cell complexes (57-XX) 2 Optics, electromagnetic theory (78-XX) 1 Combinatorics (05-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 147 Publications have been cited 1,841 times in 1,263 Documents Cited by ▼ Year ▼ Yang-Baxter equation and representation theory. I. Zbl 0502.35074Kulish, P. P.; Reshetikhin, N. Yu.; Sklyanin, E. K. 215 1981 Quantum spectral transform method. Recent developments. Zbl 0734.35071Kulish, P. P.; Sklyanin, E. K. 147 1982 On a Lorentz-invariant interpretation of noncommutative space-time and its implications on noncommutative QFT. Zbl 1247.81518Chaichian, M.; Kulish, P. P.; Nishijima, K.; Tureanu, A. 123 2004 Solutions of the Yang-Baxter equation. Zbl 0553.58039Kulish, P. P.; Sklyanin, E. K. 112 1982 Diagonalisation of \(\text{GL}(N)\) invariant transfer matrices and quantum \(N\)-wave system (Lee model). Zbl 0545.35082Kulish, P. P.; Reshetikhin, N. Yu. 93 1983 On the \(q\) oscillator and the quantum algebra \(\mathfrak{su}_ q(1,1)\). Zbl 0709.17012Kulish, P. P.; Damaskinskii, E. V. 77 1990 Quantum Lie superalgebras and q-oscillators. Zbl 0764.17023Chaichian, M.; Kulish, P. 68 1990 Asymptotic conditions and infrared divergences in quantum electrodynamics. Zbl 0197.26201Kulish, P. P.; Faddeev, L. D. 61 1970 Algebraic structures related to reflection equations. Zbl 0774.17019Kulish, P. P.; Sklyanin, E. K. 60 1992 Universal R-matrix of the quantum superalgebra osp(2\(| 1)\). Zbl 0694.17008Kulish, P. P.; Reshetikhin, N. Yu. 59 1989 Quantum algebra as the dynamical symmetry of the deformed Jaynes-Cummings model. Zbl 1050.81561Chaichian, M.; Ellinas, D.; Kulish, P. 44 1990 The general \(U_ q[sl(2)]\) invariant XXZ integrable quantum spin chain. Zbl 0724.17019Kulish, P. P.; Sklyanin, E. K. 38 1991 Quantum difference nonlinear Schrödinger equation. Zbl 0464.35091Kulish, P. P. 35 1981 Integrable graded magnets. Zbl 0606.58054Kulish, P. P. 34 1986 Extended Jordanian twists for Lie algebras. Zbl 0964.81041Kulish, P. P.; Lyakhovsky, V. D.; Mudrov, A. I. 28 1999 On spin systems related to the Temperley-Lieb algebra. Zbl 1045.81514Kulish, P. P. 24 2003 On a universal solution to the reflection equation. Zbl 1042.17011Donin, J.; Kulish, P. P.; Mudrov, A. I. 22 2003 The generating operator for the n \(\times n\) linear system. Zbl 1194.35365Gerdjikov, V. S.; Kulish, P. P. 22 1981 Quadratic bundle and nonlinear equations. Zbl 0454.35071Gerdzhikov, V. S.; Ivanov, M. I.; Kulish, P. P. 17 1981 Contraction of quantum algebras and \(q\) oscillators. Zbl 0735.17022Kulish, P. P. 16 1991 Yang-Baxter equation and reflection equations in integrable models. Zbl 0879.58033Kulish, P. P. 15 1996 Creation operators and Bethe vectors of the \(\text{osp}(1| 2)\) Gaudin model. Zbl 1063.82010Kulish, P. P.; Manojlović, N. 15 2001 Constant solutions of reflection equations and quantum groups. Zbl 0799.17010Kulish, P. P.; Sasaki, R.; Schwiebert, C. 14 1993 New rational solutions of Yang-Baxter equation and deformed Yangians. Zbl 0942.81018Stolin, Alexander; Kulish, Petr P. 13 1997 Deformed Yangians and integrable models. Zbl 0942.81029Kulish, P. P.; Stolin, A. A. 13 1997 Dirac operators on the quantum group SU(2) and the quantum sphere. Zbl 0954.58004Bibikov, P. N.; Kulish, P. P. 12 1997 Trigonometric \(\text{osp}(1|2)\) Gaudin model. Zbl 1061.82010Kulish, P. P.; Manojlović, N. 12 2003 Expansions over the ”squared” solutions and difference evolution equations. Zbl 0554.35118Gerdzhikov, V. S.; Ivanov, M. I.; Kulish, P. P. 12 1984 Stationary problems for equation of the KdV type and dynamical \(r\)-matrices. Zbl 0863.58035Kulish, P. P.; Rauch-Wojciechowski, S.; Tsiganov, A. V. 11 1996 Superconformal field theory and SUSY \(N=1\) KdV hierarchy. II: the \(Q\)-operator. Zbl 1123.81367Kulish, Petr P.; Zeitlin, Anton M. 11 2005 Quantum OSP-invariant nonlinear Schrödinger equation. Zbl 0591.35068Kulish, P. P. 11 1985 Chains of twists for classical Lie algebras. Zbl 1019.17002Kulish, Petr P.; Lyakhovsky, Vladimir D.; del Olmo, Mariano A. 10 1999 Reflection equations and \(q\)-Minkowski space algebras. Zbl 0828.16047de Azcárraga, J. A.; Kulish, P. P.; Rodenas, F. 10 1994 Quantum symmetry algebras of spin systems related to Temperley-Lieb \(R\)-matrices. Zbl 1153.81389Kulish, P. P.; Manojlović, N.; Nagy, Z. 10 2008 Multiplicity function for tensor powers of modules of the \(A_n\) algebra. Zbl 1281.17009Kulish, P. P.; Lyakhovsky, V. D.; Postnova, O. V. 10 2012 Applications of deformed oscillators. Zbl 0783.17004Damaskinskij, E. V.; Kulish, P. P. 9 1991 Symmetries of spin systems and Birman-Wenzl-Murakami algebra. Zbl 1310.82016Kulish, P. P.; Manojlović, N.; Nagy, Z. 9 2010 Baxterization of solutions to reflection equation with Hecke \(R\)-matrix. Zbl 1144.16035Kulish, P. P.; Mudrov, A. I. 8 2006 Irreducible representations of deformed oscillator algebra and \(q\)-special functions. Zbl 0985.81552Damaskinsky, E. V.; Kulish, P. P. 8 1997 Universal \(R\)-matrix for esoteric quantum groups. Zbl 0944.16032Kulish, P. P.; Mudrov, A. I. 8 1999 Integrable spin systems with long-range interactions. Zbl 0768.58046Hikami, Kazuhiro; Kulish, P. P.; Wadati, Miki 8 1992 Quasi-classical limit in \(q\)-deformed systems, non-commutativity and the \(q\)-path integral. Zbl 1044.81624Chaichian, M.; Demichev, A. P.; Kulish, P. P. 8 1997 Hierarchy of symplectic forms for the Schrödinger equation and for the Dirac equation on a straight line. Zbl 0427.35064Kulish, P. P.; Reĭman, A. G. 8 1978 Generating operators of integrable nonlinear evolution equations. Zbl 0474.35077Kulish, P. P. 8 1980 Bethe vectors of the \(\text{osp}(1\mid 2)\) Gaudin model. Zbl 1052.82011Kulish, P. P.; Manojlović, N. 7 2001 Twist deformation of the rank-one Lie superalgebra. Zbl 0905.17010Celeghini, E.; Kulish, P. P. 7 1998 Deformed oscillators and their applications. Zbl 0744.17010Damaskinskij, E. V.; Kulish, P. P. 7 1991 Generalized Heisenberg ferromagnet and the Gross-Neveu model. Zbl 0437.46063Kulish, P. P.; Reshetikhin, N. Yu. 7 1979 Quadratic bundle and nonlinear equations. Zbl 0439.35055Gerdzhikov, V. S.; Ivanov, M. I.; Kulish, P. P. 7 1980 Jordanian twists on deformed carrier subspaces. Zbl 0966.17010Kulish, Petr P.; Lyakhovsky, Vladimir D. 6 2000 Restricted flows of the KdV hierarchy and \(r\)-matrix formalism. Zbl 1015.37502Kulish, P. P.; Rauch-Wojciechowski, S.; Tsiganov, A. V. 6 1994 Gauss decomposition for quantum groups and supergroups. Zbl 0899.17002Damaskinskij, E. V.; Kulish, P. P.; Sokolov, M. A. 6 1995 Integrable structure of superconformal field theory and quantum super-KdV theory. Zbl 1246.81074Kulish, Petr P.; Zeitlin, Anton M. 6 2004 Reflection \(K\)-matrices related to Temperley-Lieb \(R\)-matrices. Zbl 1274.82006Avan, J.; Kulish, P. P.; Rollet, G. 6 2011 Superconformal field theory and SUSY \(N=1\) KdV hierarchy. I: Vertex operators and Yang-Baxter equation. Zbl 1123.81368Kulish, Petr P.; Zeitlin, Anton M. 6 2004 Dynamical reflection equation. Zbl 1144.17011Kulish, P. P.; Mudrov, A. I. 6 2007 Group-theoretical structure and the inverse scattering method for the super-KdV equation. Zbl 1068.35134Kulish, P. P.; Zeitlin, A. M. 6 2002 Inverse scattering problem for the Schrödinger equation on the axis. Zbl 0176.04501Kulish, P. P. 6 1968 Temperley-Lieb \(R\)-matrices from generalized Hadamard matrices. Zbl 1310.82010Avan, J.; Fonseca, T.; Frappat, L.; Kulish, P. P.; Ragoucy, E.; Rollet, G. 6 2014 Quantum groups, \(q\) oscillators, and covariant algebras. Zbl 0973.17503Kulish, P. P. 5 1993 On calculation of generating functions of Chebyshev polynomials in several variables. Zbl 1317.05012Damaskinsky, E. V.; Kulish, P. P.; Sokolov, M. A. 5 2015 Jordanian deformation of the open XXX spin chain. Zbl 1252.82030Kulish, P. P.; Manojlović, N.; Nagy, Z. 5 2010 Quantum supersymmetric Toda–mKdV hierarchies. Zbl 1194.81124Kulish, Petr P.; Zeitlin, Anton M. 5 2005 Tetrahedron reflection equations. Zbl 1020.82555Isaev, A. P.; Kulish, P. P. 4 1997 Full chains of twists for orthogonal algebras. Zbl 1050.81563Kulish, Petr P.; Lyakhovsky, Vladimir D.; Stolin, Alexander 4 2000 On twisting solutions to the Yang-Baxter equation. Zbl 0978.81045Kulish, P. P.; Mudrov, A. I. 4 2000 The quantum superalgebra \(\mathrm{osp}(2\vert 1)\). Zbl 0672.17007Kulish, P. P. 4 1988 Bethe ansatz for the deformed Gaudin model. Zbl 1208.82008Kulish, Petr; Manojlović, Nenad; Samsonov, Maxim; Stolin, Alexander 4 2010 Twisting adjoint module algebras. Zbl 1211.81078Kulish, Petr; Mudrov, Andrey 4 2011 Twist of quantum groups and noncommutative field theory. Zbl 1116.81065Kulish, P. P. 4 2006 Anomalies of quantum currents in exactly solvable models. Zbl 0412.35063Kulish, P. P.; Nisimov, E. R. 4 1977 Super-KdV equation: classical solutions and quantization. Zbl 1354.35130Kulish, Petr P.; Zeitlin, Anton M. 4 2004 Construction of eigenfunctions for a system of quantum minors of the monodromy matrix for an \(\mathrm{SL}(n,\mathbb{C})\)-invariant spin chain. Zbl 1362.82013Valinevich, P. A.; Derkachov, S. É.; Kulish, P. P.; Uvarov, E. M. 4 2016 Integrable spin chains and representation theory. Zbl 1297.81167Kulish, P. P. 4 2013 Quantum groups and deformed special relativity. Zbl 1043.81584de Azcárraga, J. A.; Kulish, P. P.; Rodenas, F. 3 1996 Twist-related geometries on \(q\)-Minkowski space. Zbl 0982.81026Kulish, P. P.; Mudrov, A. I. 3 1999 Quantum group covariant systems. Zbl 1058.81556Chaichian, M.; Kulish, P. P. 3 1996 Deformation of orthosymplectic Lie superalgebra osp\((1/4)\). Zbl 1056.17024Celeghini, Enrico; Kulish, Petr P. 3 2004 Representations of \(q\)-Minkowski space algebra. Zbl 0832.17016Kulish, P. P. 3 1994 Exactly solvable models of quantum nonlinear optics. Zbl 1276.81120Bogoliubov, N. M.; Kulish, P. P. 3 2013 Quantum nonlinear wave interaction system. Zbl 0617.58050Kulish, P. P. 3 1986 Multicomponent nonlinear Schrödinger equation in the case of nonzero boundary conditions. Zbl 0568.35084Gerdzhikov, V. S.; Kulish, P. P. 3 1985 Hopf superalgebra contractions and \(R\)-matrix for fermions. Zbl 0767.17006Celeghini, 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 3 1992 Noncommutative fields and actions of twisted Poincaré algebra. Zbl 1152.81367Chaichian, M.; Kulish, P. P.; Tureanu, A.; Zhang, R. B.; Zhang, Xiao 3 2008 From quantum affine symmetry to the boundary Askey-Wilson algebra and the reflection equation. Zbl 1148.82005Aneva, B.; Chaichian, M.; Kulish, P. P. 3 2008 Editorial: In memoriam Daniel Arnaudon. Zbl 1104.01313Frappat, Luc; Kulish, Petr; Ragoucy, Eric; Rivasseau, Vincent; Sorba, Paul 3 2006 On the action-angle variables for the multicomponent nonlinear Schrödinger equation. Zbl 0505.35029Kulish, P. P. 3 1982 Twists in \(U(\mathfrak{sl}_3)\) and their quantizations. Zbl 1122.17010Kulish, P. P.; Lyakhovsky, V. D.; Samsonov, M. E. 3 2006 Conservation laws for a string in a static field. Zbl 0412.53016Kulish, P. P. 3 1978 Generalized Bethe ansatz and quantum inverse problem method. Zbl 0443.35058Kulish, P. P. 3 1979 Construction of the spectral measure for deformed oscillator position operator in the case of undetermined Hamburger moment problem. Zbl 1044.81067Borzov, V. V.; Damaskinsky, E. V.; Kulish, P. P. 3 2000 Hamiltonian structure of polynomial pencils. Zbl 0511.47010Kulish, P. P.; Reĭman, A. G. 3 1983 The two-parametric quantum group and gauge transformation. Zbl 0709.17011Kulish, P. P. 3 1990 Twisting of quantum groups and integrable systems. Zbl 0965.35139Kulish, P. P. 2 2000 Full chains of twists for symplectic algebras. Zbl 1036.17011Ananikyan, D. N.; Kulish, P. P.; Lyakhovskiĭ, V. D. 2 2003 Spin chain connected to the quantum superalgebra \(\text{sl}_q(1| 1)\). Zbl 1082.17009Kulish, P. P.; Ryasichenko, P. D. 2 2005 Chains of Frobenius subalgebras of so\((M)\) and the corresponding twists. Zbl 1032.17018Lyakhovsky, Vladimir D.; Stolin, Alexander; Kulish, Petr P. 2 2001 Representation of the Zamolodchikov-Faddeev algebra. Zbl 0532.47032Kulish, P. P. 2 1984 On recent progress in quantum groups: An introductory review. Zbl 0778.17008Kulish, P. P. 2 1993 Construction of eigenfunctions for a system of quantum minors of the monodromy matrix for an \(\mathrm{SL}(n,\mathbb{C})\)-invariant spin chain. Zbl 1362.82013Valinevich, 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 1317.05012Damaskinsky, E. V.; Kulish, P. P.; Sokolov, M. A. 5 2015 Temperley-Lieb \(R\)-matrices from generalized Hadamard matrices. Zbl 1310.82010Avan, J.; Fonseca, T.; Frappat, L.; Kulish, P. P.; Ragoucy, E.; Rollet, G. 6 2014 Ludvig Dmitrievich Faddeev (on his 80th birthday). Zbl 1311.01030Aref’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 1310.82011Avan, J.; Kulish, P. P.; Rollet, G. 1 2014 Integrable spin chains and representation theory. Zbl 1297.81167Kulish, P. P. 4 2013 Exactly solvable models of quantum nonlinear optics. Zbl 1276.81120Bogoliubov, N. M.; Kulish, P. P. 3 2013 Multiplicity function for tensor powers of modules of the \(A_n\) algebra. Zbl 1281.17009Kulish, P. P.; Lyakhovsky, V. D.; Postnova, O. V. 10 2012 Reflection \(K\)-matrices related to Temperley-Lieb \(R\)-matrices. Zbl 1274.82006Avan, J.; Kulish, P. P.; Rollet, G. 6 2011 Twisting adjoint module algebras. Zbl 1211.81078Kulish, Petr; Mudrov, Andrey 4 2011 Symmetries of spin systems and Birman-Wenzl-Murakami algebra. Zbl 1310.82016Kulish, P. P.; Manojlović, N.; Nagy, Z. 9 2010 Jordanian deformation of the open XXX spin chain. Zbl 1252.82030Kulish, P. P.; Manojlović, N.; Nagy, Z. 5 2010 Bethe ansatz for the deformed Gaudin model. Zbl 1208.82008Kulish, Petr; Manojlović, Nenad; Samsonov, Maxim; Stolin, Alexander 4 2010 On certain properties of branching coefficients for affine Lie algebras. Zbl 1244.17014Il’in, M.; Kulish, P.; Lyakhovskiĭ, V. 2 2010 The three-magnon problem and integrability of rung-dimerized spin ladders. Zbl 1288.82021Bibikov, P. N.; Kulish, P. P. 2 2010 Folded fans and string functions. Zbl 1288.17015Ilyirn, M.; Kulish, P.; Lyakhovsky, V. 2 2010 Quantum symmetry algebras of spin systems related to Temperley-Lieb \(R\)-matrices. Zbl 1153.81389Kulish, P. P.; Manojlović, N.; Nagy, Z. 10 2008 Noncommutative fields and actions of twisted Poincaré algebra. Zbl 1152.81367Chaichian, M.; Kulish, P. P.; Tureanu, A.; Zhang, R. B.; Zhang, Xiao 3 2008 From quantum affine symmetry to the boundary Askey-Wilson algebra and the reflection equation. Zbl 1148.82005Aneva, B.; Chaichian, M.; Kulish, P. P. 3 2008 String functions for affine Lie algebras integrable modules. Zbl 1215.17017Kulish, Petr; Lyakhovsky, Vladimir 2 2008 Models solvable by Bethe ansatz. Zbl 1154.82307Kulish, Petr P. 2 2008 Algebraic Bethe ansatz for a seven-vertex model. Zbl 1288.82023Kulish, P. P.; Ryasichenko, P. D. 2 2008 Dynamical reflection equation. Zbl 1144.17011Kulish, P. P.; Mudrov, A. I. 6 2007 Baxterization of solutions to reflection equation with Hecke \(R\)-matrix. Zbl 1144.16035Kulish, P. P.; Mudrov, A. I. 8 2006 Twist of quantum groups and noncommutative field theory. Zbl 1116.81065Kulish, P. P. 4 2006 Editorial: In memoriam Daniel Arnaudon. Zbl 1104.01313Frappat, Luc; Kulish, Petr; Ragoucy, Eric; Rivasseau, Vincent; Sorba, Paul 3 2006 Twists in \(U(\mathfrak{sl}_3)\) and their quantizations. Zbl 1122.17010Kulish, P. P.; Lyakhovsky, V. D.; Samsonov, M. E. 3 2006 Superconformal field theory and SUSY \(N=1\) KdV hierarchy. II: the \(Q\)-operator. Zbl 1123.81367Kulish, Petr P.; Zeitlin, Anton M. 11 2005 Quantum supersymmetric Toda–mKdV hierarchies. Zbl 1194.81124Kulish, Petr P.; Zeitlin, Anton M. 5 2005 Spin chain connected to the quantum superalgebra \(\text{sl}_q(1| 1)\). Zbl 1082.17009Kulish, P. P.; Ryasichenko, P. D. 2 2005 Quantum inverse scattering method and (super)conformal field theory. Zbl 1178.81237Kulish, P. P.; Zeitlin, A. M. 2 2005 Noncommutative geometry and quantum field theory. Zbl 1220.81170Kulish, Petr P. 2 2005 On a Lorentz-invariant interpretation of noncommutative space-time and its implications on noncommutative QFT. Zbl 1247.81518Chaichian, M.; Kulish, P. P.; Nishijima, K.; Tureanu, A. 123 2004 Integrable structure of superconformal field theory and quantum super-KdV theory. Zbl 1246.81074Kulish, Petr P.; Zeitlin, Anton M. 6 2004 Superconformal field theory and SUSY \(N=1\) KdV hierarchy. I: Vertex operators and Yang-Baxter equation. Zbl 1123.81368Kulish, Petr P.; Zeitlin, Anton M. 6 2004 Super-KdV equation: classical solutions and quantization. Zbl 1354.35130Kulish, Petr P.; Zeitlin, Anton M. 4 2004 Deformation of orthosymplectic Lie superalgebra osp\((1/4)\). Zbl 1056.17024Celeghini, Enrico; Kulish, Petr P. 3 2004 Quantization of integrable models with hidden symmetries: super-KdV equation. Zbl 1058.37531Kulish, Petr P.; Zeitlin, Anton M. 1 2004 On spin systems related to the Temperley-Lieb algebra. Zbl 1045.81514Kulish, P. P. 24 2003 On a universal solution to the reflection equation. Zbl 1042.17011Donin, J.; Kulish, P. P.; Mudrov, A. I. 22 2003 Trigonometric \(\text{osp}(1|2)\) Gaudin model. Zbl 1061.82010Kulish, P. P.; Manojlović, N. 12 2003 Full chains of twists for symplectic algebras. Zbl 1036.17011Ananikyan, D. N.; Kulish, P. P.; Lyakhovskiĭ, V. D. 2 2003 Construction of a universal twist element from an \(R\)-matrix. Zbl 1070.16043Stolin, A. A.; Kulish, P. P.; Damaskinsky, E. V. 2 2003 Quantum groups and integrable models. Zbl 1064.81515Kulish, Petr P. 1 2003 Group-theoretical structure and the inverse scattering method for the super-KdV equation. Zbl 1068.35134Kulish, P. P.; Zeitlin, A. M. 6 2002 Quantization of inhomogeneous Lie bialgebras. Zbl 1027.17014Kulish, P. P.; Mudrov, A. I. 1 2002 Spin Hamiltonians, quantum groups and reaction-diffusion processes. Zbl 1048.81036Chaichian, Masud; Kulish, Petr P. 1 2002 Twists in Hopf algebras and \(RT_1T_2=T_2T_1\) relations. Zbl 1051.16022Kulish, P. P.; Stolin, A. 1 2002 Simultaneous quantization of three-dimensional bialgebras. Zbl 1095.17005Damaskinsky, E. V.; Kulish, P. P.; Sokolov, M. A. 1 2002 Creation operators and Bethe vectors of the \(\text{osp}(1| 2)\) Gaudin model. Zbl 1063.82010Kulish, P. P.; Manojlović, N. 15 2001 Bethe vectors of the \(\text{osp}(1\mid 2)\) Gaudin model. Zbl 1052.82011Kulish, P. P.; Manojlović, N. 7 2001 Chains of Frobenius subalgebras of so\((M)\) and the corresponding twists. Zbl 1032.17018Lyakhovsky, Vladimir D.; Stolin, Alexander; Kulish, Petr P. 2 2001 Jordanian twists on deformed carrier subspaces. Zbl 0966.17010Kulish, Petr P.; Lyakhovsky, Vladimir D. 6 2000 Full chains of twists for orthogonal algebras. Zbl 1050.81563Kulish, Petr P.; Lyakhovsky, Vladimir D.; Stolin, Alexander 4 2000 On twisting solutions to the Yang-Baxter equation. Zbl 0978.81045Kulish, 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 1044.81067Borzov, V. V.; Damaskinsky, E. V.; Kulish, P. P. 3 2000 Twisting of quantum groups and integrable systems. Zbl 0965.35139Kulish, P. P. 2 2000 Invariants of \(B\)-type links via an extension of the Kauffman bracket. Zbl 1023.57010Kulish, P. P.; Nikitin, A. M. 1 2000 Extended Jordanian twists for Lie algebras. Zbl 0964.81041Kulish, P. P.; Lyakhovsky, V. D.; Mudrov, A. I. 28 1999 Chains of twists for classical Lie algebras. Zbl 1019.17002Kulish, Petr P.; Lyakhovsky, Vladimir D.; del Olmo, Mariano A. 10 1999 Universal \(R\)-matrix for esoteric quantum groups. Zbl 0944.16032Kulish, P. P.; Mudrov, A. I. 8 1999 Twist-related geometries on \(q\)-Minkowski space. Zbl 0982.81026Kulish, P. P.; Mudrov, A. I. 3 1999 Symmetries related to Yang-Baxter equation and reflection equations. Zbl 1229.81294Kulish, P. P. 2 1999 Twist deformation of the rank-one Lie superalgebra. Zbl 0905.17010Celeghini, E.; Kulish, P. P. 7 1998 Twisting of quantum groups and integrable models. Zbl 0972.81070Kulish, P. P. 1 1998 Classical and quantum duality in Jordanian quantizations. Zbl 0948.81018Kulish, P. P.; Lyakhovsky, V. D. 1 1998 New rational solutions of Yang-Baxter equation and deformed Yangians. Zbl 0942.81018Stolin, Alexander; Kulish, Petr P. 13 1997 Deformed Yangians and integrable models. Zbl 0942.81029Kulish, P. P.; Stolin, A. A. 13 1997 Dirac operators on the quantum group SU(2) and the quantum sphere. Zbl 0954.58004Bibikov, P. N.; Kulish, P. P. 12 1997 Irreducible representations of deformed oscillator algebra and \(q\)-special functions. Zbl 0985.81552Damaskinsky, E. V.; Kulish, P. P. 8 1997 Quasi-classical limit in \(q\)-deformed systems, non-commutativity and the \(q\)-path integral. Zbl 1044.81624Chaichian, M.; Demichev, A. P.; Kulish, P. P. 8 1997 Tetrahedron reflection equations. Zbl 1020.82555Isaev, A. P.; Kulish, P. P. 4 1997 Yang-Baxter equation and reflection equations in integrable models. Zbl 0879.58033Kulish, P. P. 15 1996 Stationary problems for equation of the KdV type and dynamical \(r\)-matrices. Zbl 0863.58035Kulish, P. P.; Rauch-Wojciechowski, S.; Tsiganov, A. V. 11 1996 Quantum groups and deformed special relativity. Zbl 1043.81584de Azcárraga, J. A.; Kulish, P. P.; Rodenas, F. 3 1996 Quantum group covariant systems. Zbl 1058.81556Chaichian, M.; Kulish, P. P. 3 1996 Quantum group covariant algebras. Zbl 0860.17018Kulish, P. P. 1 1996 Gauss decomposition for quantum groups and supergroups. Zbl 0899.17002Damaskinskij, E. V.; Kulish, P. P.; Sokolov, M. A. 6 1995 Dirac-like formulation of \(q\)-Lorentz groups. Zbl 0895.17015de Azcárraga, J. A.; Kulish, P. P.; Rodenas, F. 1 1995 Lyudvig Dmitrievich Faddeev (on his sixtieth birthday). Zbl 0847.01018Osipov, 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 Gauss decomposition of quantum groups and supergroups. Zbl 0886.17016Damaskinskij, E. V.; Kulish, P. P.; Sokolov, M. A. 1 1995 Reflection equations and \(q\)-Minkowski space algebras. Zbl 0828.16047de Azcárraga, J. A.; Kulish, P. P.; Rodenas, F. 10 1994 Restricted flows of the KdV hierarchy and \(r\)-matrix formalism. Zbl 1015.37502Kulish, P. P.; Rauch-Wojciechowski, S.; Tsiganov, A. V. 6 1994 Representations of \(q\)-Minkowski space algebra. Zbl 0832.17016Kulish, P. P. 3 1994 Constant solutions of reflection equations and quantum groups. Zbl 0799.17010Kulish, P. P.; Sasaki, R.; Schwiebert, C. 14 1993 Quantum groups, \(q\) oscillators, and covariant algebras. Zbl 0973.17503Kulish, P. P. 5 1993 On recent progress in quantum groups: An introductory review. Zbl 0778.17008Kulish, P. P. 2 1993 Reflection equation algebras and quantum groups. Zbl 0843.17007Kulish, P. P. 2 1993 Covariant noncommutative differential geometry. Zbl 0860.46047Kulish, P. P. 1 1993 Covariant non-commutative differential geometry. Zbl 0817.46069Kulish, P. P. 1 1993 Algebraic structures related to reflection equations. Zbl 0774.17019Kulish, P. P.; Sklyanin, E. K. 60 1992 Integrable spin systems with long-range interactions. Zbl 0768.58046Hikami, Kazuhiro; Kulish, P. P.; Wadati, Miki 8 1992 Quantum groups. Proceedings of workshops, held in the Euler International Mathematical Institute, Leningrad, USSR, Fall 1990. Zbl 0741.00068 3 1992 Hermite \(q\)-polynomials and \(q\)-oscillators. Zbl 0929.33015Damaskinskij, E. V.; Kulish, P. P. 1 1992 The general \(U_ q[sl(2)]\) invariant XXZ integrable quantum spin chain. Zbl 0724.17019Kulish, P. P.; Sklyanin, E. K. 38 1991 Contraction of quantum algebras and \(q\) oscillators. Zbl 0735.17022Kulish, P. P. 16 1991 Applications of deformed oscillators. Zbl 0783.17004Damaskinskij, E. V.; Kulish, P. P. 9 1991 Deformed oscillators and their applications. Zbl 0744.17010Damaskinskij, E. V.; Kulish, P. P. 7 1991 Hopf superalgebra contractions and \(R\)-matrix for fermions. Zbl 0767.17006Celeghini, E.; Giachetti, R.; Kulish, P. P.; Sorace, E.; Tarlini, M. 3 1991 Quantum superalgebra \(\mathrm{osp}(2|1)\). Zbl 0725.17017Kulish, P. P. 2 1991 ...and 47 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,275 Authors 45 Kulish, Petr Petrovich 32 Ragoucy, Eric 25 Derkachëv, Sergeĭ Èduardovich 20 Xue, Kang 19 Gerdzhikov, Vladimir Stefanov 18 Pakuliak, Stanislav Z. 17 Mudrov, Andrey I. 17 Reshetikhin, Nikolai Yu. 17 Slavnov, Nikita A. 16 Kirschner, Roland 16 Nepomechie, Rafael I. 15 Crampé, Nicolas 15 Manojlović, Nenad 14 Karakhanyan, David 13 Doikou, Anastasia 13 Isaev, Alekseĭ Petrovich 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 Gurevich, Dmitrii 11 Varchenko, Alexander Nikolaevich 11 Zhang, Ruibin 10 Balachandran, Aiyalam P. 10 Borowiec, Andrzej Zdzisław 10 Ge, Molin 10 Khoroshkin, Sergey M. 10 Lukierski, Jerzy 10 Saponov, Pavel A. 10 Tolstoĭ, Valeriĭ Nikolaevich 10 Wang, Gangcheng 9 Lima-Santos, Antonio 9 Meljanac, Stjepan 9 Niccoli, Giuliano 9 Sun, Chunfang 9 Valinevich, Pavel A. 9 Yang, Wenli 8 Borzov, Vadim V. 8 Chicherin, Dmitry 8 Kazakov, Vladimir A. 8 Kirillov, Anatol N. 8 Molev, Alexander I. 8 Mukhin, Evgeny 8 Okado, Masato 8 Stolin, Alexander 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 Nazarov, Maxim Leonidovich 7 Petrov, Leonid 7 Regelskis, Vidas 7 Shi, Kangjie 7 Tsyganov, Andreĭ Vladimirovich 7 Vinet, Luc 7 Volin, Dmytro 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 Leurent, Sebastien 6 Manashov, Alexander N. 6 Mozrzymas, Marek 6 Palev, Tchavdar D. 6 Salom, Igor 6 Spiridonov, Vyacheslav Pavlovich 6 Terras, Véronique 6 Yoshida, Kentaroh 6 Zhao, Shaoyou 6 Zhou, Chengcheng 5 Arnaudon, Daniel 5 Aschieri, Paolo 5 Baseilhac, Pascal 5 Cao, Junpeng 5 Choi, Sangmin 5 Dobrev, Vladimir K. 5 Floreanini, Roberto 5 Gromov, Nikolay A. 5 Gutkin, Eugene 5 Hao, Kun 5 Hayashi, Takahiro 5 Karaiskos, Nikos 5 Mangazeev, Vladimir V. 5 Pimenta, Rodrigo A. 5 Semenov-Tyan-Shanskiĭ, Mikhail Arsen’evich ...and 1,175 more Authors all top 5 Cited in 136 Serials 183 Journal of Mathematical Physics 114 Theoretical and Mathematical Physics 112 Nuclear Physics. 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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 ...and 36 more Serials all top 5 Cited in 51 Fields 825 Quantum theory (81-XX) 483 Nonassociative rings and algebras (17-XX) 314 Statistical mechanics, structure of matter (82-XX) 225 Associative rings and algebras (16-XX) 144 Dynamical systems and ergodic theory (37-XX) 141 Partial differential equations (35-XX) 98 Relativity and gravitational theory (83-XX) 67 Differential geometry (53-XX) 57 Group theory and generalizations (20-XX) 50 Special functions (33-XX) 50 Global analysis, analysis on manifolds (58-XX) 46 Algebraic geometry (14-XX) 42 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) 23 Combinatorics (05-XX) 21 Ordinary differential equations (34-XX) 19 Probability theory and stochastic processes (60-XX) 15 Manifolds and cell complexes (57-XX) 14 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) 5 Statistics (62-XX) 4 Mathematical logic and foundations (03-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Algebraic topology (55-XX) 4 Computer science (68-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 History and biography (01-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 Sequences, series, summability (40-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 Abstract harmonic analysis (43-XX) 1 Mechanics of deformable solids (74-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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