Edit Profile Sheĭnman, Oleg Karlovich Compute Distance To: Compute Author ID: sheinman.oleg-k Published as: Sheinman, O. K.; Sheinman, Oleg; Sheinman, Oleg K.; Sheĭnman, O. K. Homepage: http://www.mi.ras.ru/~sheinman/ External Links: MGP · Math-Net.Ru · Wikidata Documents Indexed: 56 Publications since 1978, including 3 Books all top 5 Co-Authors 45 single-authored 5 Schlichenmaier, Martin 2 Bukhshtaber, Viktor Matveevich 2 Lebedev, S. S. 2 Novikov, Sergeĭ Petrovich 2 Parshin, Alexei N. 2 Sabitov, Idzhad Khakovich 2 Sergeev, Armen Glebovich 2 Shchepin, Evgenij V. 1 Alexandrov, Victor A. 1 Andreev, N. N. 1 Beklemishev, Lev D. 1 Dolbilin, Nikolaĭ Petrovich 1 Erokhovets, Nikolaĭ Yur’evich 1 Gaifullin, Alexander A. 1 Garber, Alexeĭ Igorevich 1 Konovalov, S. P. 1 Kovalev, Mikhail D. 1 Kozlov, Valeriĭ Vasil’evich 1 Krichever, Igor’ Moiseevich 1 Lando, Sergei K. 1 Makarov, V. S. 1 Mal’tsev, Arkadiĭ Anatol’evich 1 Nesterenko, Yuriĭ Valentinovich 1 Orlov, Dmitri O. 1 Semenov, Alexei Lvovich 1 Shtogrin, Mikhail Ivanovich 1 Treshchev, Dmitriĭ Valer’evich 1 Vesnin, Andrei Yu. all top 5 Serials 13 Russian Mathematical Surveys 11 Functional Analysis and its Applications 3 Doklady Mathematics 3 Matematicheskie Metody Resheniya Èkonomicheskikh Zadach 3 Proceedings of the Steklov Institute of Mathematics 2 Journal of Mathematical Sciences (New York) 2 Moscow Mathematical Journal 1 Theoretical and Mathematical Physics 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Funktsional’nyĭ Analiz i ego Prilozheniya 1 Transactions of the Moscow Mathematical Society 1 Engineering Cybernetics 1 Soviet Journal of Computer and Systems Sciences 1 IMRN. International Mathematics Research Notices 1 Transformation Groups 1 De Gruyter Expositions in Mathematics 1 Travaux Mathématiques all top 5 Fields 37 Nonassociative rings and algebras (17-XX) 26 Algebraic geometry (14-XX) 20 Quantum theory (81-XX) 13 Topological groups, Lie groups (22-XX) 12 Dynamical systems and ergodic theory (37-XX) 9 Functions of a complex variable (30-XX) 7 Operations research, mathematical programming (90-XX) 5 Several complex variables and analytic spaces (32-XX) 4 Differential geometry (53-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Number theory (11-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Group theory and generalizations (20-XX) 1 Partial differential equations (35-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 26 Publications have been cited 115 times in 47 Documents Cited by ▼ Year ▼ Wess-Zumino-Witten-Novikov theory, Knizhnik-Zamolodchikov equations, and Krichever-Novikov algebras. Zbl 0943.17019Schlichenmaier, M.; Sheinman, O. K. 15 1999 The Sugawara construction and Casimir operators for Krichever-Novikov algebras. Zbl 1006.17503Schlichenmaier, M.; Sheinman, O. K. 14 1998 Current algebras on Riemann surfaces. New results and applications. Zbl 1258.81002Sheinman, Oleg K. 8 2012 Lax operator algebras. Zbl 1160.17017Krichever, I. M.; Sheinman, O. K. 8 2007 The Knizhnik-Zamolodchikov equations for positive genus, and Krichever-Novikov algebras. Zbl 1066.17014Schlichenmaier, Martin; Sheinman, O. K. 7 2004 Hierarchies of finite-dimensional Lax equations with a spectral parameter on a Riemann surface and semisimple Lie algebras. Zbl 1417.37246Sheinman, O. K. 6 2015 Elliptic affine Lie algebras. Zbl 0715.17023Sheĭnman, O. K. 6 1990 Lax operator algebras and integrable systems. Zbl 1395.17047Sheinman, O. K. 5 2016 Central extensions of Lax operator algebras. Zbl 1204.17016Schlichenmaier, M.; Sheinman, O. K. 5 2008 Highest-weight representations of Krichever-Novikov algebras and integrable systems. Zbl 1082.17012Sheinman, O. K. 5 2005 Affine Krichever-Novikov algebras, their representations and applications. Zbl 1081.17014Sheinman, Oleg K. 5 2004 Modules with highest weight for affine Lie algebras on Riemann surfaces. Zbl 0848.17023Sheinman, O. K. 4 1995 Highest weight modules over certain quasigraded Lie algebras on elliptic curves. Zbl 0820.17037Sheĭnman, O. K. 4 1992 Global current algebras and localization on Riemann surfaces. Zbl 1382.17013Sheinman, Oleg K. 3 2015 Semisimple Lie algebras and Hamiltonian theory of finite-dimensional Lax equations with spectral parameter on a Riemann surface. Zbl 1395.17073Sheinman, O. K. 3 2015 Lax operator algebras of type \(G_{2}\). Zbl 1360.17029Sheinman, O. K. 3 2014 Certain reductions of Hitchin systems of rank 2 and genera 2 and 3. Zbl 1432.14030Sheinman, O. K. 2 2018 Lax operator algebras and gradings on semisimple Lie algebras. Zbl 1362.17046Sheinman, O. K. 2 2015 Nikolai Petrovich Dolbilin (on his 70th birthday). Zbl 1291.01031Andreev, N. N.; Buchstaber, V. M.; Garber, A. I.; Kozlov, V. V.; Konovalov, S. P.; Mal’tsev, A. A.; Nesterenko, Yu V.; Novikov, S. P.; Parshin, A. N.; Sabitov, I. Kh; Semenov, A. L.; Sergeev, A. G.; Sheinman, O. K.; Shtogrin, M. I.; Shchepin, E. V. 2 2014 Representations of Krichever-Novikov algebras. Zbl 0848.17022Sheinman, O. K. 2 1995 Integrable systems of algebraic origin and separation of variables. Zbl 1420.14076Sheinman, O. K. 1 2018 Lax operator algebras and gradings on semi-simple Lie algebras. Zbl 1405.17047Sheinman, O. K. 1 2016 On certain current algebras related to finite-zone integration. Zbl 1196.17022Sheinman, Oleg K. 1 2008 Second-order Casimir operators for the affine Krichever-Novikov algebras \(\widehat{\mathfrak{ gl}}_{g,2}\) and \(\widehat{\mathfrak{sl}}_{g,2}\). Zbl 1123.17301Sheinman, O. K. 1 2001 Krichever-Novikov algebras and self-duality equations on Riemann surfaces. Zbl 1106.17307Sheinman, O. K. 1 2001 The fermion model of representations of affine Krichever-Novikov algebras. Zbl 1013.17020Sheinman, O. K. 1 2001 Certain reductions of Hitchin systems of rank 2 and genera 2 and 3. Zbl 1432.14030Sheinman, O. K. 2 2018 Integrable systems of algebraic origin and separation of variables. Zbl 1420.14076Sheinman, O. K. 1 2018 Lax operator algebras and integrable systems. Zbl 1395.17047Sheinman, O. K. 5 2016 Lax operator algebras and gradings on semi-simple Lie algebras. Zbl 1405.17047Sheinman, O. K. 1 2016 Hierarchies of finite-dimensional Lax equations with a spectral parameter on a Riemann surface and semisimple Lie algebras. Zbl 1417.37246Sheinman, O. K. 6 2015 Global current algebras and localization on Riemann surfaces. Zbl 1382.17013Sheinman, Oleg K. 3 2015 Semisimple Lie algebras and Hamiltonian theory of finite-dimensional Lax equations with spectral parameter on a Riemann surface. Zbl 1395.17073Sheinman, O. K. 3 2015 Lax operator algebras and gradings on semisimple Lie algebras. Zbl 1362.17046Sheinman, O. K. 2 2015 Lax operator algebras of type \(G_{2}\). Zbl 1360.17029Sheinman, O. K. 3 2014 Nikolai Petrovich Dolbilin (on his 70th birthday). Zbl 1291.01031Andreev, N. N.; Buchstaber, V. M.; Garber, A. I.; Kozlov, V. V.; Konovalov, S. P.; Mal’tsev, A. A.; Nesterenko, Yu V.; Novikov, S. P.; Parshin, A. N.; Sabitov, I. Kh; Semenov, A. L.; Sergeev, A. G.; Sheinman, O. K.; Shtogrin, M. I.; Shchepin, E. V. 2 2014 Current algebras on Riemann surfaces. New results and applications. Zbl 1258.81002Sheinman, Oleg K. 8 2012 Central extensions of Lax operator algebras. Zbl 1204.17016Schlichenmaier, M.; Sheinman, O. K. 5 2008 On certain current algebras related to finite-zone integration. Zbl 1196.17022Sheinman, Oleg K. 1 2008 Lax operator algebras. Zbl 1160.17017Krichever, I. M.; Sheinman, O. K. 8 2007 Highest-weight representations of Krichever-Novikov algebras and integrable systems. Zbl 1082.17012Sheinman, O. K. 5 2005 The Knizhnik-Zamolodchikov equations for positive genus, and Krichever-Novikov algebras. Zbl 1066.17014Schlichenmaier, Martin; Sheinman, O. K. 7 2004 Affine Krichever-Novikov algebras, their representations and applications. Zbl 1081.17014Sheinman, Oleg K. 5 2004 Second-order Casimir operators for the affine Krichever-Novikov algebras \(\widehat{\mathfrak{ gl}}_{g,2}\) and \(\widehat{\mathfrak{sl}}_{g,2}\). Zbl 1123.17301Sheinman, O. K. 1 2001 Krichever-Novikov algebras and self-duality equations on Riemann surfaces. Zbl 1106.17307Sheinman, O. K. 1 2001 The fermion model of representations of affine Krichever-Novikov algebras. Zbl 1013.17020Sheinman, O. K. 1 2001 Wess-Zumino-Witten-Novikov theory, Knizhnik-Zamolodchikov equations, and Krichever-Novikov algebras. Zbl 0943.17019Schlichenmaier, M.; Sheinman, O. K. 15 1999 The Sugawara construction and Casimir operators for Krichever-Novikov algebras. Zbl 1006.17503Schlichenmaier, M.; Sheinman, O. K. 14 1998 Modules with highest weight for affine Lie algebras on Riemann surfaces. Zbl 0848.17023Sheinman, O. K. 4 1995 Representations of Krichever-Novikov algebras. Zbl 0848.17022Sheinman, O. K. 2 1995 Highest weight modules over certain quasigraded Lie algebras on elliptic curves. Zbl 0820.17037Sheĭnman, O. K. 4 1992 Elliptic affine Lie algebras. Zbl 0715.17023Sheĭnman, O. K. 6 1990 all cited Publications top 5 cited Publications all top 5 Cited by 28 Authors 14 Sheĭnman, Oleg Karlovich 11 Cox, Ben Lewis 9 Schlichenmaier, Martin 3 Fialowski, Alice 3 Futorny, Vyacheslav M. 3 Zhao, Kaiming 2 Bremner, Murray R. 2 Bukhshtaber, Viktor Matveevich 2 Bunkova, Elena Yur’evna 2 Chalykh, Oleg A. 2 Guo, Xiangqian 2 Jurisich, Elizabeth 2 Lü, Rencai 2 Martins, Renato Alessandro 2 Wagemann, Friedrich 1 Bueno, André 1 Fairon, Maxime 1 Im, Mee Seong 1 Katanaev, Mikhaĭl Orinovich 1 Kreusch, Marie 1 Krichever, Igor’ Moiseevich 1 Liu, Dong 1 Pei, Yufeng 1 Przhiyalkovskiĭ, Viktor Vladimirovich 1 Shramov, Konstantin Aleksandrovich 1 Skrypnyk, Taras Volodymyrovych 1 Tirao, Juan Alfredo 1 Xia, Limeng all top 5 Cited in 24 Serials 8 Proceedings of the Steklov Institute of Mathematics 4 Journal of Mathematical Physics 3 Journal of Geometry and Physics 3 Functional Analysis and its Applications 3 Proceedings of the American Mathematical Society 3 Doklady Mathematics 3 Communications in Contemporary Mathematics 2 Communications in Mathematical Physics 2 Journal of Algebra 2 Journal of Mathematical Sciences (New York) 1 Communications in Algebra 1 International Journal of Theoretical Physics 1 Letters in Mathematical Physics 1 Reports on Mathematical Physics 1 Theoretical and Mathematical Physics 1 Journal of Differential Equations 1 Journal für die Reine und Angewandte Mathematik 1 Transactions of the Moscow Mathematical Society 1 International Journal of Mathematics 1 Integral Transforms and Special Functions 1 Transformation Groups 1 The Ramanujan Journal 1 Analysis and Mathematical Physics 1 Afrika Matematika all top 5 Cited in 17 Fields 38 Nonassociative rings and algebras (17-XX) 23 Algebraic geometry (14-XX) 17 Quantum theory (81-XX) 11 Dynamical systems and ergodic theory (37-XX) 7 Functions of a complex variable (30-XX) 4 Several complex variables and analytic spaces (32-XX) 3 Topological groups, Lie groups (22-XX) 3 Special functions (33-XX) 3 Mechanics of particles and systems (70-XX) 2 Partial differential equations (35-XX) 2 Differential geometry (53-XX) 1 Associative rings and algebras (16-XX) 1 \(K\)-theory (19-XX) 1 Group theory and generalizations (20-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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