Edit Profile (opens in new tab) Skrypnyk, Taras Volodymyrovych Co-Author Distance Author ID: skrypnyk.taras-v Published as: Skrypnyk, T.; Skrypnyk, T. V.; Skrypnyk, Taras; Skrypnyk, Taras V.; Skrypnik, T. V.; Scrypnik, T. V.; Skrypnik, T. more...less External Links: Math-Net.Ru Documents Indexed: 97 Publications since 1996, including 2 Additional arXiv Preprints Co-Authors: 11 Co-Authors with 17 Joint Publications 175 Co-Co-Authors all top 5 Co-Authors 78 single-authored 3 Boyarsky, Alexey 3 Dubrovin, Boris Anatol’evich 3 Golod, P. I. 2 Holod, Petro I. 2 Magri, Franco 1 Darchuk, N. 1 Kalajda, Oleksij F. 1 Kryvyi, Serhiĭ L. 1 Magnano, Guido 1 Manojlović, Nenad 1 Zhugajevych, A. Ya. all top 5 Serials 22 Journal of Mathematical Physics 13 Nuclear Physics. B 11 Journal of Physics A: Mathematical and Theoretical 10 Journal of Geometry and Physics 5 Theoretical and Mathematical Physics 5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 Journal of Physics A: Mathematical and General 3 Ukraïns’kyĭ Matematychnyĭ Zhurnal 2 Russian Mathematical Surveys 2 Methods of Functional Analysis and Topology 1 Letters in Mathematical Physics 1 Physics Letters. A 1 Reports on Mathematical Physics 1 Reviews in Mathematical Physics 1 Acta Applicandae Mathematicae 1 Physica D 1 Cybernetics and Systems Analysis 1 Visnyk. Seriya: Fizyko-Matematychni Nauky. Kyïvs’kyĭ Universytet Imeni Tarasa Shevchenka 1 Dopovidi Natsional’noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky 1 Czechoslovak Journal of Physics 1 Naukovi Zapysky (Kyïv) 1 Journal of Statistical Mechanics: Theory and Experiment all top 5 Fields 56 Dynamical systems and ergodic theory (37-XX) 50 Nonassociative rings and algebras (17-XX) 43 Quantum theory (81-XX) 24 Statistical mechanics, structure of matter (82-XX) 19 Topological groups, Lie groups (22-XX) 17 Mechanics of particles and systems (70-XX) 8 Algebraic geometry (14-XX) 6 Associative rings and algebras (16-XX) 4 Differential geometry (53-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Partial differential equations (35-XX) 2 Group theory and generalizations (20-XX) 2 Optics, electromagnetic theory (78-XX) 1 Mathematical logic and foundations (03-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Integral equations (45-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 71 Publications have been cited 390 times in 109 Documents Cited by ▼ Year ▼ Integrable quantum spin chains, non-skew symmetric \(r\)-matrices and quasigraded Lie algebras. Zbl 1101.81064 Skrypnyk, T. 31 2006 Generalized Gaudin systems in a magnetic field and non-skew-symmetric \(r\)-matrices. Zbl 1127.81023 Skrypnyk, T. 25 2007 Generalized Gaudin spin chains, nonskew symmetric \(r\)-matrices, and reflection equation algebras. Zbl 1153.81435 Skrypnyk, Taras 18 2007 Quantum integrable systems, non-skew-symmetric \(r\)-matrices and algebraic Bethe ansatz. Zbl 1121.81068 Skrypnyk, T. 18 2007 Infinite-dimensional Lie algebras, classical \(r\)-matrices, and Lax operators: two approaches. Zbl 1328.17020 Skrypnyk, T. 14 2013 Non-skew-symmetric classical \(r\)-matrices, algebraic Bethe ansatz, and Bardeen-Cooper-Schrieffer-type integrable systems. Zbl 1202.17016 Skrypnyk, T. 13 2009 “\(Z_2\)-graded” Gaudin models and analytical Bethe ansatz. Zbl 1262.81064 Skrypnyk, T. 13 2013 Generalized quantum Gaudin spin chains, involutive automorphisms and “twisted” classical \(r\)-matrices. Zbl 1111.81087 Skrypnyk, T. 13 2006 Generalized shift elements and classical \(r\)-matrices: construction and applications. Zbl 1303.37028 Skrypnyk, T. 12 2014 Quasigraded deformations of loop algebras and classical integrable systems. Zbl 1047.37052 Skrypnyk, T. 12 2002 Non-skew-symmetric classical \(r\)-matrices and integrable cases of the reduced BCS model. Zbl 1181.81063 Skrypnyk, T. 12 2009 Quasigraded Lie algebras on hyperelliptic curves and classical integrable systems. Zbl 1032.17052 Skrypnyk, T. 9 2001 New non-skew symmetric classical \(r\)-matrices and ‘twisted’ quasigraded Lie algebras. Zbl 1108.37047 Skrypnyk, T. 9 2007 Classical \(r\)-matrices, “elliptic” BCS and Gaudin-type Hamiltonians and spectral problem. Zbl 1415.82003 Skrypnyk, T. 8 2019 Separation of variables for linear Lax algebras and classical \(r\)-matrices. Zbl 1403.37067 Dubrovin, B.; Skrypnyk, T. 8 2018 Lie algebras with triangular decompositions, non-skew-symmetric classical \(r\)-matrices and Gaudin-type integrable systems. Zbl 1185.81095 Skrypnyk, T. 8 2010 Integrability and superintegrability of the generalized \(n\)-level many-mode Jaynes-Cummings and Dicke models. Zbl 1283.81084 Skrypnyk, T. 8 2009 Deformations of loop algebras and integrable systems: hierarchies of integrable equations. Zbl 1064.37055 Skrypnyk, T. 7 2004 Anisotropic BCS-Richardson model and algebraic Bethe ansatz. Zbl 1485.81037 Skrypnyk, T. 7 2022 Twisted rational \(r\)-matrices and algebraic Bethe ansatz: application to generalized Gaudin and Richardson models. Zbl 07408633 Skrypnyk, T.; Manojlović, N. 7 2021 New integrable Gaudin-type systems, classical \(r\)-matrices and quasigraded Lie algebras. Zbl 1123.81369 Skrypnyk, T. 7 2005 Generalized \(n\)-level Jaynes-Cummings and Dicke models, classical rational \(r\)-matrices and algebraic Bethe ansatz. Zbl 1153.81020 Skrypnyk, T. 7 2008 “Symmetric” separation of variables for the Clebsch system. Zbl 1429.70003 Skrypnyk, T. 6 2019 Spin chains in magnetic field, non-skew-symmetric classical r-matrices and BCS-type integrable systems. Zbl 1192.82025 Skrypnyk, T. 6 2009 Separation of variables in anisotropic models: anisotropic Rabi and elliptic Gaudin model in an external magnetic field. Zbl 1433.37060 Skrypnyk, T. 5 2017 “Many-poled” \(r\)-matrix Lie algebras, Lax operators, and integrable systems. Zbl 1304.37050 Skrypnyk, T. 5 2014 Reductions in finite-dimensional integrable systems and special points of classical \(r\)-matrices. Zbl 1417.37207 Skrypnyk, T. 5 2016 Quasi-periodic functions on the torus and \(sl(n)\)-elliptic Lie algebra. Zbl 1274.22012 Skrypnyk, T. 5 2012 Elliptic three-boson system, “two-level three-mode” JCD-type models and non-skew-symmetric classical r-matrices. Zbl 1246.82027 Skrypnyk, T. 5 2012 Separation of variables in anisotropic models and non-skew-symmetric elliptic \(r\)-matrix. Zbl 1396.70020 Skrypnyk, Taras 5 2017 Integrable modifications of Dicke and Jaynes-Cummings models, Bose-Hubbard dimers and classical \(r\)-matrices. Zbl 1189.81290 Skrypnyk, T. 5 2010 Modified non-Abelian Toda field equations and twisted quasigraded Lie algebras. Zbl 1112.37073 Skrypnyk, T. 5 2006 Quantum integrable models of interacting bosons and classical \(r\)-matrices with spectral parameters. Zbl 1326.81280 Skrypnyk, T. 4 2015 Anisotropic quasigraded Lie algebras on hyperelliptic curves and integrable Hamiltonian systems. Zbl 0974.17036 Golod, P. I.; Skrypnyk, T. V. 4 2000 Special quasigraded Lie algebras and integrable Hamiltonian systems. Zbl 1218.37103 Skrypnyk, T. 4 2007 Generalized Knizhnik-Zamolodchikov equations, off-shell Bethe ansatz and non-skew-symmetric classical \(r\)-matrices. Zbl 1196.81207 Skrypnyk, T. 4 2010 Separation of variables, Lax-integrable systems and \(gl(2) \otimes gl(2)\)-valued classical \(r\)-matrices. Zbl 1450.37054 Skrypnyk, T. 4 2020 “Generalized” algebraic Bethe ansatz, Gaudin-type models and \(Z_{p}\)-graded classical \(r\)-matrices. Zbl 1349.82018 Skrypnyk, T. 3 2016 General integrable \(n\)-level, many-mode Janes-Cummings-Dicke models and classical \(r\)-matrices with spectral parameters. Zbl 1315.81114 Skrypnyk, T. 3 2015 Gaudin-type models, non-skew-symmetric classical \(r\)-matrices and nested Bethe ansatz. Zbl 1328.82018 Skrypnyk, T. 3 2015 Singular orbits of the co-adjoint representation of Euclidean groups. Zbl 0964.22018 Boyarskij, A. M.; Skrypnik, T. V. 3 2000 Integrable deformation of the Toda chain and quasigraded Lie algebras. Zbl 1109.37051 Skrypnyk, T. 3 2005 Isomonodromic deformations, generalized Knizhnik-Zamolodchikov equations and non-skew-symmetric classical \(r\)-matrices. Zbl 1312.37045 Skrypnyk, T. 3 2010 ‘Doubled’ generalized Landau-Lifshitz hierarchies and special quasigraded Lie algebras. Zbl 1063.22025 Skrypnyk, T. 3 2004 Dual \(R\)-matrix integrability. Zbl 1182.37037 Skrypnyk, T. V. 3 2008 Compatible Poisson brackets, quadratic Poisson algebras and classical \(r\)-matrices. Zbl 1180.37106 Roubtsov, V.; Skrypnyk, T. 3 2009 Non-skew-symmetric classical r-matrices and integrable “\(p_x +ip_y\)” proton-neutron BCS models. Zbl 1262.81068 Skrypnyk, T. 3 2012 Elliptic Gaudin-type model in an external magnetic field and modified algebraic Bethe ansatz. Zbl 1520.81091 Skrypnyk, T. 3 2023 Hierarchies of integrable equations associated with hyperelliptic Lie algebras. Zbl 1001.37075 Skrypnyk, T.; Holod, P. 2 2001 Separation of variables for quadratic algebras and skew-symmetric classical \(r\)-matrices. Zbl 1436.70005 Dubrovin, B.; Skrypnyk, T. 2 2019 Integrable deformations of the mKdV and SG hierarchies and quasigraded Lie algebras. Zbl 1134.37359 Skrypnyk, T. 2 2006 Deformations of loop algebras and classical integrable systems: finite-dimensional Hamiltonian systems. Zbl 1106.37038 Skrypnyk, T. 2 2004 Decompositions of quasigraded Lie algebras, non-skew-symmetric classical \(r\)-matrices and generalized Gaudin models. Zbl 1284.17017 Skrypnyk, T. 2 2014 Quasigraded bases in loop algebras and classical rational \(r\)-matrices. Zbl 1278.81107 Skrypnyk, T. 2 2012 Rational r-matrices, higher rank Lie algebras and integrable proton-neutron BCS models. Zbl 1246.81075 Skrypnyk, T. 2 2012 Symmetric separation of variables for trigonometric integrable models. Zbl 1493.70068 Skrypnyk, T. 2 2020 Reduction in soliton hierarchies and special points of classical \(r\)-matrices. Zbl 1431.37055 Skrypnyk, T. 1 2018 Degenerate orbits of adjoint representation of orthogonal and unitary groups regarded as algebraic submanifolds. Zbl 0933.22018 Boyarskyj, O. M.; Skrypnyk, T. V. 1 1997 \(Z_{2}\)-graded classical \(r\)-matrices and algebraic Bethe ansatz: applications to integrable models of quantum optics and nuclear physics. Zbl 1349.81221 Skrypnyk, T. 1 2016 On the new class of commutative subalgebras of the maximal Gelfand-Kirillov dimension in the universal enveloping algebra of a simple Lie algebra. Zbl 0947.17005 Skrypnyk, T. 1 1999 Quantum integrability of the generalized Euler’s top with symmetry. Zbl 0989.81041 Skrypnyk, Taras 1 2000 “Twisted” rational \(r\)-matrices and the algebraic Bethe ansatz: applications to generalized Gaudin models, Bose-Hubbard dimers, and Jaynes-Cummings-Dicke-type models. Zbl 1357.82015 Skrypnyk, Taras V. 1 2016 Quasigraded Lie algebras and modified Toda field equations. Zbl 1128.37046 Skrypnyk, Taras V. 1 2006 Classical double, \(R\)-operators, and negative flows of integrable hierarchies. Zbl 1341.37035 Dubrovin, B. A.; Skrypnyk, T. V. 1 2012 Quasigraded Lie algebras, Kostant-Adler scheme, and integrable hierarchies. Zbl 1178.37092 Skrypnyk, T. V. 1 2005 Symmetric and asymmetric separation of variables for an integrable case of the complex Kirchhoff’s problem. Zbl 1484.35017 Skrypnyk, T. 1 2022 The generalized Lipkin-Meshkov-Glick model and the modified algebraic Bethe ansatz. Zbl 1513.81079 Skrypnyk, Taras 1 2022 Classical \(R\)-operators and integrable generalizations of Thirring equations. Zbl 1143.17008 Skrypnyk, Taras V. 1 2008 On a class of \(gl (n) \otimes gl (n)\)-valued classical \(r\)-matrices and separation of variables. Zbl 1464.70010 Skrypnyk, T. 1 2021 Generalized Gaudin systems in an external magnetic field and reflection equation algebras. Zbl 1456.82323 Skrypnyk, T. 1 2010 Elliptic BCS-Richardson model and the modified algebraic Bethe ansatz. Zbl 07680164 Skrypnyk, T. 1 2023 Elliptic Gaudin-type model in an external magnetic field and modified algebraic Bethe ansatz. Zbl 1520.81091 Skrypnyk, T. 3 2023 Elliptic BCS-Richardson model and the modified algebraic Bethe ansatz. Zbl 07680164 Skrypnyk, T. 1 2023 Anisotropic BCS-Richardson model and algebraic Bethe ansatz. Zbl 1485.81037 Skrypnyk, T. 7 2022 Symmetric and asymmetric separation of variables for an integrable case of the complex Kirchhoff’s problem. Zbl 1484.35017 Skrypnyk, T. 1 2022 The generalized Lipkin-Meshkov-Glick model and the modified algebraic Bethe ansatz. Zbl 1513.81079 Skrypnyk, Taras 1 2022 Twisted rational \(r\)-matrices and algebraic Bethe ansatz: application to generalized Gaudin and Richardson models. Zbl 07408633 Skrypnyk, T.; Manojlović, N. 7 2021 On a class of \(gl (n) \otimes gl (n)\)-valued classical \(r\)-matrices and separation of variables. Zbl 1464.70010 Skrypnyk, T. 1 2021 Separation of variables, Lax-integrable systems and \(gl(2) \otimes gl(2)\)-valued classical \(r\)-matrices. Zbl 1450.37054 Skrypnyk, T. 4 2020 Symmetric separation of variables for trigonometric integrable models. Zbl 1493.70068 Skrypnyk, T. 2 2020 Classical \(r\)-matrices, “elliptic” BCS and Gaudin-type Hamiltonians and spectral problem. Zbl 1415.82003 Skrypnyk, T. 8 2019 “Symmetric” separation of variables for the Clebsch system. Zbl 1429.70003 Skrypnyk, T. 6 2019 Separation of variables for quadratic algebras and skew-symmetric classical \(r\)-matrices. Zbl 1436.70005 Dubrovin, B.; Skrypnyk, T. 2 2019 Separation of variables for linear Lax algebras and classical \(r\)-matrices. Zbl 1403.37067 Dubrovin, B.; Skrypnyk, T. 8 2018 Reduction in soliton hierarchies and special points of classical \(r\)-matrices. Zbl 1431.37055 Skrypnyk, T. 1 2018 Separation of variables in anisotropic models: anisotropic Rabi and elliptic Gaudin model in an external magnetic field. Zbl 1433.37060 Skrypnyk, T. 5 2017 Separation of variables in anisotropic models and non-skew-symmetric elliptic \(r\)-matrix. Zbl 1396.70020 Skrypnyk, Taras 5 2017 Reductions in finite-dimensional integrable systems and special points of classical \(r\)-matrices. Zbl 1417.37207 Skrypnyk, T. 5 2016 “Generalized” algebraic Bethe ansatz, Gaudin-type models and \(Z_{p}\)-graded classical \(r\)-matrices. Zbl 1349.82018 Skrypnyk, T. 3 2016 \(Z_{2}\)-graded classical \(r\)-matrices and algebraic Bethe ansatz: applications to integrable models of quantum optics and nuclear physics. Zbl 1349.81221 Skrypnyk, T. 1 2016 “Twisted” rational \(r\)-matrices and the algebraic Bethe ansatz: applications to generalized Gaudin models, Bose-Hubbard dimers, and Jaynes-Cummings-Dicke-type models. Zbl 1357.82015 Skrypnyk, Taras V. 1 2016 Quantum integrable models of interacting bosons and classical \(r\)-matrices with spectral parameters. Zbl 1326.81280 Skrypnyk, T. 4 2015 General integrable \(n\)-level, many-mode Janes-Cummings-Dicke models and classical \(r\)-matrices with spectral parameters. Zbl 1315.81114 Skrypnyk, T. 3 2015 Gaudin-type models, non-skew-symmetric classical \(r\)-matrices and nested Bethe ansatz. Zbl 1328.82018 Skrypnyk, T. 3 2015 Generalized shift elements and classical \(r\)-matrices: construction and applications. Zbl 1303.37028 Skrypnyk, T. 12 2014 “Many-poled” \(r\)-matrix Lie algebras, Lax operators, and integrable systems. Zbl 1304.37050 Skrypnyk, T. 5 2014 Decompositions of quasigraded Lie algebras, non-skew-symmetric classical \(r\)-matrices and generalized Gaudin models. Zbl 1284.17017 Skrypnyk, T. 2 2014 Infinite-dimensional Lie algebras, classical \(r\)-matrices, and Lax operators: two approaches. Zbl 1328.17020 Skrypnyk, T. 14 2013 “\(Z_2\)-graded” Gaudin models and analytical Bethe ansatz. Zbl 1262.81064 Skrypnyk, T. 13 2013 Quasi-periodic functions on the torus and \(sl(n)\)-elliptic Lie algebra. Zbl 1274.22012 Skrypnyk, T. 5 2012 Elliptic three-boson system, “two-level three-mode” JCD-type models and non-skew-symmetric classical r-matrices. Zbl 1246.82027 Skrypnyk, T. 5 2012 Non-skew-symmetric classical r-matrices and integrable “\(p_x +ip_y\)” proton-neutron BCS models. Zbl 1262.81068 Skrypnyk, T. 3 2012 Quasigraded bases in loop algebras and classical rational \(r\)-matrices. Zbl 1278.81107 Skrypnyk, T. 2 2012 Rational r-matrices, higher rank Lie algebras and integrable proton-neutron BCS models. Zbl 1246.81075 Skrypnyk, T. 2 2012 Classical double, \(R\)-operators, and negative flows of integrable hierarchies. Zbl 1341.37035 Dubrovin, B. A.; Skrypnyk, T. V. 1 2012 Lie algebras with triangular decompositions, non-skew-symmetric classical \(r\)-matrices and Gaudin-type integrable systems. Zbl 1185.81095 Skrypnyk, T. 8 2010 Integrable modifications of Dicke and Jaynes-Cummings models, Bose-Hubbard dimers and classical \(r\)-matrices. Zbl 1189.81290 Skrypnyk, T. 5 2010 Generalized Knizhnik-Zamolodchikov equations, off-shell Bethe ansatz and non-skew-symmetric classical \(r\)-matrices. Zbl 1196.81207 Skrypnyk, T. 4 2010 Isomonodromic deformations, generalized Knizhnik-Zamolodchikov equations and non-skew-symmetric classical \(r\)-matrices. Zbl 1312.37045 Skrypnyk, T. 3 2010 Generalized Gaudin systems in an external magnetic field and reflection equation algebras. Zbl 1456.82323 Skrypnyk, T. 1 2010 Non-skew-symmetric classical \(r\)-matrices, algebraic Bethe ansatz, and Bardeen-Cooper-Schrieffer-type integrable systems. Zbl 1202.17016 Skrypnyk, T. 13 2009 Non-skew-symmetric classical \(r\)-matrices and integrable cases of the reduced BCS model. Zbl 1181.81063 Skrypnyk, T. 12 2009 Integrability and superintegrability of the generalized \(n\)-level many-mode Jaynes-Cummings and Dicke models. Zbl 1283.81084 Skrypnyk, T. 8 2009 Spin chains in magnetic field, non-skew-symmetric classical r-matrices and BCS-type integrable systems. Zbl 1192.82025 Skrypnyk, T. 6 2009 Compatible Poisson brackets, quadratic Poisson algebras and classical \(r\)-matrices. Zbl 1180.37106 Roubtsov, V.; Skrypnyk, T. 3 2009 Generalized \(n\)-level Jaynes-Cummings and Dicke models, classical rational \(r\)-matrices and algebraic Bethe ansatz. Zbl 1153.81020 Skrypnyk, T. 7 2008 Dual \(R\)-matrix integrability. Zbl 1182.37037 Skrypnyk, T. V. 3 2008 Classical \(R\)-operators and integrable generalizations of Thirring equations. Zbl 1143.17008 Skrypnyk, Taras V. 1 2008 Generalized Gaudin systems in a magnetic field and non-skew-symmetric \(r\)-matrices. Zbl 1127.81023 Skrypnyk, T. 25 2007 Generalized Gaudin spin chains, nonskew symmetric \(r\)-matrices, and reflection equation algebras. Zbl 1153.81435 Skrypnyk, Taras 18 2007 Quantum integrable systems, non-skew-symmetric \(r\)-matrices and algebraic Bethe ansatz. Zbl 1121.81068 Skrypnyk, T. 18 2007 New non-skew symmetric classical \(r\)-matrices and ‘twisted’ quasigraded Lie algebras. Zbl 1108.37047 Skrypnyk, T. 9 2007 Special quasigraded Lie algebras and integrable Hamiltonian systems. Zbl 1218.37103 Skrypnyk, T. 4 2007 Integrable quantum spin chains, non-skew symmetric \(r\)-matrices and quasigraded Lie algebras. Zbl 1101.81064 Skrypnyk, T. 31 2006 Generalized quantum Gaudin spin chains, involutive automorphisms and “twisted” classical \(r\)-matrices. Zbl 1111.81087 Skrypnyk, T. 13 2006 Modified non-Abelian Toda field equations and twisted quasigraded Lie algebras. Zbl 1112.37073 Skrypnyk, T. 5 2006 Integrable deformations of the mKdV and SG hierarchies and quasigraded Lie algebras. Zbl 1134.37359 Skrypnyk, T. 2 2006 Quasigraded Lie algebras and modified Toda field equations. Zbl 1128.37046 Skrypnyk, Taras V. 1 2006 New integrable Gaudin-type systems, classical \(r\)-matrices and quasigraded Lie algebras. Zbl 1123.81369 Skrypnyk, T. 7 2005 Integrable deformation of the Toda chain and quasigraded Lie algebras. Zbl 1109.37051 Skrypnyk, T. 3 2005 Quasigraded Lie algebras, Kostant-Adler scheme, and integrable hierarchies. Zbl 1178.37092 Skrypnyk, T. V. 1 2005 Deformations of loop algebras and integrable systems: hierarchies of integrable equations. Zbl 1064.37055 Skrypnyk, T. 7 2004 ‘Doubled’ generalized Landau-Lifshitz hierarchies and special quasigraded Lie algebras. Zbl 1063.22025 Skrypnyk, T. 3 2004 Deformations of loop algebras and classical integrable systems: finite-dimensional Hamiltonian systems. Zbl 1106.37038 Skrypnyk, T. 2 2004 Quasigraded deformations of loop algebras and classical integrable systems. Zbl 1047.37052 Skrypnyk, T. 12 2002 Quasigraded Lie algebras on hyperelliptic curves and classical integrable systems. Zbl 1032.17052 Skrypnyk, T. 9 2001 Hierarchies of integrable equations associated with hyperelliptic Lie algebras. Zbl 1001.37075 Skrypnyk, T.; Holod, P. 2 2001 Anisotropic quasigraded Lie algebras on hyperelliptic curves and integrable Hamiltonian systems. Zbl 0974.17036 Golod, P. I.; Skrypnyk, T. V. 4 2000 Singular orbits of the co-adjoint representation of Euclidean groups. Zbl 0964.22018 Boyarskij, A. M.; Skrypnik, T. V. 3 2000 Quantum integrability of the generalized Euler’s top with symmetry. Zbl 0989.81041 Skrypnyk, Taras 1 2000 On the new class of commutative subalgebras of the maximal Gelfand-Kirillov dimension in the universal enveloping algebra of a simple Lie algebra. Zbl 0947.17005 Skrypnyk, T. 1 1999 Degenerate orbits of adjoint representation of orthogonal and unitary groups regarded as algebraic submanifolds. Zbl 0933.22018 Boyarskyj, O. M.; Skrypnyk, T. V. 1 1997 all cited Publications top 5 cited Publications all top 5 Cited by 88 Authors 49 Skrypnyk, Taras Volodymyrovych 8 Manojlović, Nenad 6 Salom, Igor 5 António, N. Cirilo 5 Crampé, Nicolas 5 Links, Jon Robert 5 Vicedo, Benoît 4 Abedin, Raschid 3 Baseilhac, Pascal 3 Dimo, Claude 3 Dubrovin, Boris Anatol’evich 3 Faribault, Alexandre 3 Stolin, Alexander 3 Young, Charles A. S. 2 Burban, Igor 2 Caudrelier, Vincent 2 Douglas, Andrew S. 2 Isaac, Phillip S. 2 Maximov, Stepan 2 Odzijewicz, Anatol 2 Ragoucy, Eric 2 Veselov, Alexander Petrovich 2 Wawreniuk, Ewa 2 Ye, Yiru 1 Abbasi, M. R. 1 Babujian, Hrachya M. 1 Bai, Chengming 1 Belliard, Samuel 1 Bernard, Pierre-Antoine 1 Chang, Hui 1 Chervonyi, Yuri 1 Claeys, Pieter W. 1 De Baerdemacker, Stijn 1 Dell’Atti, Marta 1 Dobrogowska, Alina 1 Dong, Huanhe 1 Du, Dianlou 1 Fehér, László Gy. 1 Fritzsche, Bernd 1 Galinat, Lennart 1 Geng, Xue 1 Guo, Boling 1 Igonin, Sergeĭ Aleksandrovich 1 Inozemtsev, Vladimir I. 1 Inozemtseva, Natalia G. 1 Iwai, Toshihiro 1 Kaashoek, Marinus Adriaan 1 Kirstein, Bernd 1 Lacroix, Sylvain 1 Landsberg, Joseph Montague 1 Li, Yuxia 1 Liu, Dong 1 Lukyanenko, Inna 1 Lunin, Oleg 1 Magnano, Guido 1 Manivel, Laurent 1 Manno, Gianni 1 Manojloviä, N. 1 Medic, Luka 1 Mei, Jianqin 1 Meneses, Cláudio N. 1 Molev, Alexander I. 1 Pei, Yufeng 1 Premat, Alejandra 1 Prosen, Tomaž 1 Ramšak, Anton 1 Sadovnikov, B. I. 1 Sakhnovich, Alexander L. 1 Sambataro, Michelangelo 1 Sandulescu, Nicolae 1 Sedrakyan, Tigran A. 1 Shaaban Kabakibo, Dounia 1 Shen, Yibing 1 Singh, Anup Anand 1 Stokman, Jasper V. 1 Tam, Hon-Wah 1 Tarama, Daisuke 1 Trushkov, Vladimir 1 van de Leur, Johan W. 1 van Tonder, Jaco 1 Vinet, Luc 1 Winstone, Jennifer 1 Xia, Limeng 1 Yang, Ganshan 1 Zel’manov, Efim Isaakovich 1 Zhang, Qiang 1 Zhang, Yufeng 1 Zhi, Hongyan all top 5 Cited in 25 Serials 27 Journal of Mathematical Physics 19 Nuclear Physics. B 11 Journal of Geometry and Physics 10 Letters in Mathematical Physics 10 Journal of Physics A: Mathematical and Theoretical 5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 Communications in Mathematical Physics 3 Theoretical and Mathematical Physics 2 Communications in Algebra 2 Reviews in Mathematical Physics 1 Modern Physics Letters B 1 Physica A 1 Physics Letters. B 1 Reports on Mathematical Physics 1 Journal of Algebra 1 Mathematische Nachrichten 1 Michigan Mathematical Journal 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Acta Applicandae Mathematicae 1 Physica D 1 Differential Geometry and its Applications 1 Indagationes Mathematicae. New Series 1 Journal of High Energy Physics 1 Annales Henri Poincaré 1 Journal of Geometric Mechanics all top 5 Cited in 21 Fields 59 Quantum theory (81-XX) 52 Nonassociative rings and algebras (17-XX) 45 Dynamical systems and ergodic theory (37-XX) 39 Statistical mechanics, structure of matter (82-XX) 19 Mechanics of particles and systems (70-XX) 13 Associative rings and algebras (16-XX) 10 Partial differential equations (35-XX) 9 Algebraic geometry (14-XX) 7 Topological groups, Lie groups (22-XX) 6 Differential geometry (53-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Ordinary differential equations (34-XX) 3 Optics, electromagnetic theory (78-XX) 2 Operator theory (47-XX) 2 Relativity and gravitational theory (83-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Algebraic topology (55-XX) 1 Numerical analysis (65-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year