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Sheĭnman, Oleg Karlovich

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Author ID: sheinman.oleg-k Recent zbMATH articles by "Sheĭnman, Oleg Karlovich"
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
Documents Indexed: 58 Publications since 1978, including 3 Books

Publications by Year

Citations contained in zbMATH Open

30 Publications have been cited 130 times in 49 Documents Cited by Year
Wess-Zumino-Witten-Novikov theory, Knizhnik-Zamolodchikov equations, and Krichever-Novikov algebras. Zbl 0943.17019
Schlichenmaier, M.; Sheinman, O. K.
15
1999
The Sugawara construction and Casimir operators for Krichever-Novikov algebras. Zbl 1006.17503
Schlichenmaier, M.; Sheinman, O. K.
14
1998
Current algebras on Riemann surfaces. New results and applications. Zbl 1258.81002
Sheinman, Oleg K.
10
2012
Lax operator algebras. Zbl 1160.17017
Krichever, I. M.; Sheinman, O. K.
10
2007
The Knizhnik-Zamolodchikov equations for positive genus, and Krichever-Novikov algebras. Zbl 1066.17014
Schlichenmaier, Martin; Sheinman, O. K.
8
2004
Lax operator algebras and integrable systems. Zbl 1395.17047
Sheinman, O. K.
7
2016
Hierarchies of finite-dimensional Lax equations with a spectral parameter on a Riemann surface and semisimple Lie algebras. Zbl 1417.37246
Sheinman, O. K.
7
2015
Elliptic affine Lie algebras. Zbl 0715.17023
Sheĭnman, O. K.
6
1990
Central extensions of Lax operator algebras. Zbl 1204.17016
Schlichenmaier, M.; Sheinman, O. K.
5
2008
Highest-weight representations of Krichever-Novikov algebras and integrable systems. Zbl 1082.17012
Sheinman, O. K.
5
2005
Affine Krichever-Novikov algebras, their representations and applications. Zbl 1081.17014
Sheinman, Oleg K.
5
2004
Modules with highest weight for affine Lie algebras on Riemann surfaces. Zbl 0848.17023
Sheinman, O. K.
4
1995
Highest weight modules over certain quasigraded Lie algebras on elliptic curves. Zbl 0820.17037
Sheĭnman, O. K.
4
1992
Certain reductions of Hitchin systems of rank 2 and genera 2 and 3. Zbl 1432.14030
Sheinman, O. K.
3
2018
Global current algebras and localization on Riemann surfaces. Zbl 1382.17013
Sheinman, Oleg K.
3
2015
Semisimple Lie algebras and Hamiltonian theory of finite-dimensional Lax equations with spectral parameter on a Riemann surface. Zbl 1395.17073
Sheinman, O. K.
3
2015
Lax operator algebras of type \(G_{2}\). Zbl 1360.17029
Sheinman, O. K.
3
2014
Spectral curves of the hyperelliptic Hitchin systems. Zbl 1445.14050
Sheinman, O. K.
2
2019
Integrable systems of algebraic origin and separation of variables. Zbl 1420.14076
Sheinman, O. K.
2
2018
Lax operator algebras and gradings on semisimple Lie algebras. Zbl 1362.17046
Sheinman, O. K.
2
2015
Nikolai Petrovich Dolbilin (on his 70th birthday). Zbl 1291.01031
Andreev, 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 0848.17022
Sheinman, O. K.
2
1995
Hitchin systems on hyperelliptic curves. Zbl 07308452
Borisova, P. I.; Sheinman, O. K.
1
2020
Matrix divisors on Riemann surfaces and Lax operator algebras. Zbl 1437.14042
Sheinman, O. K.
1
2017
Lax operator algebras and gradings on semi-simple Lie algebras. Zbl 1405.17047
Sheinman, O. K.
1
2016
Lax equations and the Knizhnik-Zamolodchikov connection. Zbl 1281.17023
Sheinman, Oleg K.
1
2013
On certain current algebras related to finite-zone integration. Zbl 1196.17022
Sheinman, 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 1123.17301
Sheinman, O. K.
1
2001
Krichever-Novikov algebras and self-duality equations on Riemann surfaces. Zbl 1106.17307
Sheinman, O. K.
1
2001
The fermion model of representations of affine Krichever-Novikov algebras. Zbl 1013.17020
Sheinman, O. K.
1
2001
Hitchin systems on hyperelliptic curves. Zbl 07308452
Borisova, P. I.; Sheinman, O. K.
1
2020
Spectral curves of the hyperelliptic Hitchin systems. Zbl 1445.14050
Sheinman, O. K.
2
2019
Certain reductions of Hitchin systems of rank 2 and genera 2 and 3. Zbl 1432.14030
Sheinman, O. K.
3
2018
Integrable systems of algebraic origin and separation of variables. Zbl 1420.14076
Sheinman, O. K.
2
2018
Matrix divisors on Riemann surfaces and Lax operator algebras. Zbl 1437.14042
Sheinman, O. K.
1
2017
Lax operator algebras and integrable systems. Zbl 1395.17047
Sheinman, O. K.
7
2016
Lax operator algebras and gradings on semi-simple Lie algebras. Zbl 1405.17047
Sheinman, O. K.
1
2016
Hierarchies of finite-dimensional Lax equations with a spectral parameter on a Riemann surface and semisimple Lie algebras. Zbl 1417.37246
Sheinman, O. K.
7
2015
Global current algebras and localization on Riemann surfaces. Zbl 1382.17013
Sheinman, Oleg K.
3
2015
Semisimple Lie algebras and Hamiltonian theory of finite-dimensional Lax equations with spectral parameter on a Riemann surface. Zbl 1395.17073
Sheinman, O. K.
3
2015
Lax operator algebras and gradings on semisimple Lie algebras. Zbl 1362.17046
Sheinman, O. K.
2
2015
Lax operator algebras of type \(G_{2}\). Zbl 1360.17029
Sheinman, O. K.
3
2014
Nikolai Petrovich Dolbilin (on his 70th birthday). Zbl 1291.01031
Andreev, 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 1281.17023
Sheinman, Oleg K.
1
2013
Current algebras on Riemann surfaces. New results and applications. Zbl 1258.81002
Sheinman, Oleg K.
10
2012
Central extensions of Lax operator algebras. Zbl 1204.17016
Schlichenmaier, M.; Sheinman, O. K.
5
2008
On certain current algebras related to finite-zone integration. Zbl 1196.17022
Sheinman, Oleg K.
1
2008
Lax operator algebras. Zbl 1160.17017
Krichever, I. M.; Sheinman, O. K.
10
2007
Highest-weight representations of Krichever-Novikov algebras and integrable systems. Zbl 1082.17012
Sheinman, O. K.
5
2005
The Knizhnik-Zamolodchikov equations for positive genus, and Krichever-Novikov algebras. Zbl 1066.17014
Schlichenmaier, Martin; Sheinman, O. K.
8
2004
Affine Krichever-Novikov algebras, their representations and applications. Zbl 1081.17014
Sheinman, 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 1123.17301
Sheinman, O. K.
1
2001
Krichever-Novikov algebras and self-duality equations on Riemann surfaces. Zbl 1106.17307
Sheinman, O. K.
1
2001
The fermion model of representations of affine Krichever-Novikov algebras. Zbl 1013.17020
Sheinman, O. K.
1
2001
Wess-Zumino-Witten-Novikov theory, Knizhnik-Zamolodchikov equations, and Krichever-Novikov algebras. Zbl 0943.17019
Schlichenmaier, M.; Sheinman, O. K.
15
1999
The Sugawara construction and Casimir operators for Krichever-Novikov algebras. Zbl 1006.17503
Schlichenmaier, M.; Sheinman, O. K.
14
1998
Modules with highest weight for affine Lie algebras on Riemann surfaces. Zbl 0848.17023
Sheinman, O. K.
4
1995
Representations of Krichever-Novikov algebras. Zbl 0848.17022
Sheinman, O. K.
2
1995
Highest weight modules over certain quasigraded Lie algebras on elliptic curves. Zbl 0820.17037
Sheĭnman, O. K.
4
1992
Elliptic affine Lie algebras. Zbl 0715.17023
Sheĭnman, O. K.
6
1990

Citations by Year