Edit Profile (opens in new tab) Sheĭnman, Oleg Karlovich Compute Distance To: Compute Author ID: sheinman.oleg-k Published as: Sheinman, O. K.; Sheĭnman, O. K.; Sheinman, Oleg K.; Sheinman, Oleg more...less Homepage: http://www.mi.ras.ru/~sheinman/ External Links: MGP · Math-Net.Ru Documents Indexed: 58 Publications since 1978, including 1 Book 2 Contributions as Editor Co-Authors: 45 Co-Authors with 13 Joint Publications 1,855 Co-Co-Authors all top 5 Co-Authors 47 single-authored 5 Schlichenmaier, Martin 3 Bukhshtaber, Viktor Matveevich 3 Novikov, Sergeĭ Petrovich 2 Lebedev, S. S. 2 Parshin, Alexei N. 2 Sabitov, Idzhad Khakovich 2 Sergeev, Armen Glebovich 2 Shchepin, Evgenij V. 1 Alexandrov, Victor A. 1 Andreev, Nikolay N. 1 Beklemishev, Lev D. 1 Borisova, P. I. 1 Chekhov, Leonid O. 1 Dobrokhotov, Sergei Yurievich 1 Dolbilin, Nikolaĭ Petrovich 1 Erokhovets, Nikolaĭ Yur’evich 1 Gaifullin, Alexander A. 1 Garber, Alexeĭ Igorevich 1 Grinevich, Pëtr Georgievich 1 Grushevsky, S. M. 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 Marshakov, Andrei V. 1 Mironov, Andreĭ Evgen’evich 1 Nekrasov, Nikita Alexandrovich 1 Nesterenko, Yuriĭ Valentinovich 1 Okun’kov, Andreĭ Yur’evich 1 Olshanetsky, Mikhail A. 1 Orlov, Dmitri O. 1 Pogrebkov, Andrei K. 1 Semënov, Alekseĭ L’vovich 1 Shlosman, Senya B. 1 Shtogrin, Mikhail Ivanovich 1 Taimanov, Iskander Asanovich 1 Treshchev, Dmitriĭ Valer’evich 1 Tsfasman, Michael A. 1 Varchenko, Alexander Nikolaevich 1 Veselov, Alexander Petrovich 1 Vesnin, Andrei Yu. 1 Zabrodin, Anton V. all top 5 Serials 14 Russian Mathematical Surveys 11 Functional Analysis and its Applications 4 Doklady Mathematics 4 Proceedings of the Steklov Institute of Mathematics 3 Matematicheskie Metody Resheniya Èkonomicheskikh Zadach 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) 29 Algebraic geometry (14-XX) 22 Quantum theory (81-XX) 15 Dynamical systems and ergodic theory (37-XX) 13 Topological groups, Lie groups (22-XX) 9 Functions of a complex variable (30-XX) 7 Operations research, mathematical programming (90-XX) 6 Differential geometry (53-XX) 5 Several complex variables and analytic spaces (32-XX) 3 History and biography (01-XX) 2 General and overarching topics; collections (00-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 Open 31 Publications have been cited 138 times in 52 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. 12 2012 Lax operator algebras. Zbl 1160.17017Krichever, I. M.; Sheinman, O. K. 11 2007 The Knizhnik-Zamolodchikov equations for positive genus, and Krichever-Novikov algebras. Zbl 1066.17014Schlichenmaier, Martin; Sheinman, O. K. 9 2004 Lax operator algebras and integrable systems. Zbl 1395.17047Sheinman, O. K. 8 2016 Hierarchies of finite-dimensional Lax equations with a spectral parameter on a Riemann surface and semisimple Lie algebras. Zbl 1417.37246Sheinman, O. K. 7 2015 Elliptic affine Lie algebras. Zbl 0715.17023Sheĭnman, O. K. 6 1990 Highest weight modules over certain quasigraded Lie algebras on elliptic curves. Zbl 0820.17037Sheĭnman, O. K. 5 1992 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 Semisimple Lie algebras and Hamiltonian theory of finite-dimensional Lax equations with spectral parameter on a Riemann surface. Zbl 1395.17073Sheinman, O. K. 4 2015 Affine Krichever-Novikov algebras, their representations and applications. Zbl 1081.17014Sheinman, Oleg K. 4 2004 Modules with highest weight for affine Lie algebras on Riemann surfaces. Zbl 0848.17023Sheinman, O. K. 4 1995 Spectral curves of the hyperelliptic Hitchin systems. Zbl 1445.14050Sheinman, O. K. 4 2019 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. 3 2018 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 Global current algebras and localization on Riemann surfaces. Zbl 1382.17013Sheinman, Oleg K. 2 2015 Lax operator algebras and gradings on semisimple Lie algebras. Zbl 1362.17046Sheinman, O. K. 2 2015 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. 2 2018 Lax operator algebras and gradings on semi-simple Lie algebras. Zbl 1405.17047Sheinman, O. K. 1 2016 Hitchin systems on hyperelliptic curves. Zbl 1471.37059Borisova, P. I.; Sheinman, O. K. 1 2020 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 Lax equations and the Knizhnik-Zamolodchikov connection. Zbl 1281.17023Sheinman, Oleg K. 1 2013 Affine Lie algebras on Riemann surfaces. Zbl 0820.17036Sheĭnman, O. K. 1 1993 The fermion model of representations of affine Krichever-Novikov algebras. Zbl 1013.17020Sheinman, O. K. 1 2001 Krichever-Novikov algebras and self-duality equations on Riemann surfaces. Zbl 1106.17307Sheinman, O. K. 1 2001 Matrix divisors on Riemann surfaces and Lax operator algebras. Zbl 1437.14042Sheinman, O. K. 1 2017 Hitchin systems on hyperelliptic curves. Zbl 1471.37059Borisova, P. I.; Sheinman, O. K. 1 2020 Spectral curves of the hyperelliptic Hitchin systems. Zbl 1445.14050Sheinman, O. K. 4 2019 Certain reductions of Hitchin systems of rank 2 and genera 2 and 3. Zbl 1432.14030Sheinman, O. K. 3 2018 Integrable systems of algebraic origin and separation of variables. Zbl 1420.14076Sheinman, O. K. 2 2018 Matrix divisors on Riemann surfaces and Lax operator algebras. Zbl 1437.14042Sheinman, O. K. 1 2017 Lax operator algebras and integrable systems. Zbl 1395.17047Sheinman, O. K. 8 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. 7 2015 Semisimple Lie algebras and Hamiltonian theory of finite-dimensional Lax equations with spectral parameter on a Riemann surface. Zbl 1395.17073Sheinman, O. K. 4 2015 Global current algebras and localization on Riemann surfaces. Zbl 1382.17013Sheinman, Oleg K. 2 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 Lax equations and the Knizhnik-Zamolodchikov connection. Zbl 1281.17023Sheinman, Oleg K. 1 2013 Current algebras on Riemann surfaces. New results and applications. Zbl 1258.81002Sheinman, Oleg K. 12 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. 11 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. 9 2004 Affine Krichever-Novikov algebras, their representations and applications. Zbl 1081.17014Sheinman, Oleg K. 4 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 The fermion model of representations of affine Krichever-Novikov algebras. Zbl 1013.17020Sheinman, O. K. 1 2001 Krichever-Novikov algebras and self-duality equations on Riemann surfaces. Zbl 1106.17307Sheinman, 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 Affine Lie algebras on Riemann surfaces. Zbl 0820.17036Sheĭnman, O. K. 1 1993 Highest weight modules over certain quasigraded Lie algebras on elliptic curves. Zbl 0820.17037Sheĭnman, O. K. 5 1992 Elliptic affine Lie algebras. Zbl 0715.17023Sheĭnman, O. K. 6 1990 all cited Publications top 5 cited Publications all top 5 Cited by 30 Authors 17 Sheĭnman, Oleg Karlovich 11 Cox, Ben Lewis 10 Schlichenmaier, Martin 3 Fialowski, Alice 3 Futorny, Vyacheslav M. 3 Zhao, Kaiming 2 Borisova, P. I. 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, Andre Gimenez Bueno 1 Donin, Dmitry 1 Fairon, Maxime 1 Im, Mee Seong 1 Katanaev, Mikhaĭl Orinovich 1 Khesin, Boris A. 1 Kreusch, Marie 1 Krichever, Igor’ Moiseevich 1 Liu, Dong 1 Pei, Yufeng 1 Przhiyalkovskiĭ, Viktor Vladimirovich 1 Shramov, Konstantin Aleksandrovich 1 Tirao, Juan Alfredo 1 Xia, Limeng all top 5 Cited in 25 Serials 9 Proceedings of the Steklov Institute of Mathematics 4 Doklady Mathematics 3 Communications in Mathematical Physics 3 Journal of Mathematical Physics 3 Journal of Geometry and Physics 3 Functional Analysis and its Applications 3 Proceedings of the American Mathematical Society 3 Communications in Contemporary Mathematics 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 Russian Mathematical Surveys 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 18 Fields 39 Nonassociative rings and algebras (17-XX) 27 Algebraic geometry (14-XX) 20 Quantum theory (81-XX) 15 Dynamical systems and ergodic theory (37-XX) 8 Functions of a complex variable (30-XX) 5 Several complex variables and analytic spaces (32-XX) 4 Differential geometry (53-XX) 3 Topological groups, Lie groups (22-XX) 3 Special functions (33-XX) 2 Associative rings and algebras (16-XX) 2 Partial differential equations (35-XX) 2 Mechanics of particles and systems (70-XX) 1 Category theory; homological algebra (18-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