O. K. Sheinman, Current algebras on Riemann surfaces, De Gruyter Expositions in Mathematics, 58, Walter de Gruyter GmbH & Co, Berlin–Boston, 2012 , 150 pp.
O. K. Sheinman, “Duality in some discrete minimization problems”, Russian Math. Surveys, 33:2 (1978), 251–252
O. K. Sheinman, “Separation of Variables for Hitchin Systems with the Structure Group $\mathrm {SO}(4)$ on Genus $2$ Curves”, Proc. Steklov Inst. Math., 325 (2024), 292–303
2.
O. K. Sheinman, Bin Wang, “Hitchin systems: some recent advances”, UMN, 79:4(478) (2024), 131–168
Geometriya, topologiya, matematicheskaya fizika, Sbornik statei. K 85-letiyu akademika Sergeya Petrovicha Novikova, Trudy MIAN, 325, ed. V. M. Bukhshtaber, P. G. Grinevich, I. A. Dynnikov, O. K. Sheinman, MIAN, M., 2024 , 333 pp.
2021
4.
Oleg Sheinman, “Quantization of Lax integrable systems and conformal field theory”, Homotopy algebras, deformation theory and quantization, Banach Cent. Publ., 123, Banach Center Publications, Institute of Mathematics Polish Academy of Sciences, Warsaw, 2021, 111–122;
5.
V. M. Buchstaber, A. N. Varchenko, A. P. Veselov, P. G. Grinevich, S. Grushevsky, S. Yu. Dobrokhotov, A. V. Zabrodin, A. V. Marshakov, A. E. Mironov, N. A. Nekrasov, S. P. Novikov, A. Yu. Okounkov, M. A. Olshanetsky, A. K. Pogrebkov, I. A. Taimanov, M. A. Tsfasman, L. O. Chekhov, O. K. Sheinman, S. B. Shlosman, “Igor' Moiseevich Krichever (on his 70th birthday)”, Russian Math. Surveys, 76:4 (2021), 733–743
2020
6.
P. I. Borisova, O. K. Sheinman, “Sistemy Khitchina na giperellipticheskikh krivykh”, Analiz i matematicheskaya fizika, Sbornik statei. K 70-letiyu so dnya rozhdeniya professora Armena Glebovicha Sergeeva, Tr. MIAN, 311, MIAN, M., 2020, 27–40
V. A. Alexandrov, L. D. Beklemishev, V. M. Buchstaber, A. Yu. Vesnin, A. A. Gaifullin, N. P. Dolbilin, N. Yu. Erokhovets, M. D. Kovalev, V. S. Makarov, S. P. Novikov, D. O. Orlov, A. N. Parshin, I. Kh. Sabitov, D. V. Treschev, O. K. Sheinman, E. V. Shchepin, “Mikhail Ivanovich Shtogrin (on his 80th birthday)”, Russian Math. Surveys, 74:6 (2019), 1159–1162
2018
10.
O. K. Sheinman, “Certain reductions of Hitchin systems of rank 2 and genera 2 and 3”, Dokl. Math., 97:2 (2018), 144–146
11.
O. K. Sheinman, “Integrable Systems of Algebraic Origin and Separation of Variables”, Funct. Anal. Appl., 52:4 (2018), 316–320
12.
Topologiya i fizika, Sbornik statei. K 80-letiyu so dnya rozhdeniya akademika Sergeya Petrovicha Novikova, Trudy MIAN, 302, ed. V. M. Bukhshtaber, I. A. Dynnikov, O. K. Sheinman, MAIK «Nauka/Interperiodika», M., 2018 , 399 pp.
2017
13.
O. K. Sheinman, “Matrix divisors on Riemann surfaces and Lax operator algebras”, Trans. Moscow Math. Soc., 78 (2017), 109–121
14.
O. K. Sheinman, “Almost graded current algebras on the symmetric square of a curve”, Russian Math. Surveys, 72:2 (2017), 384–386
2016
15.
O. K. Sheinman, “Lax operator algebras and gradings on semisimple Lie algebras”, Transform. Groups, 21:1 (2016), 181–196 , First online: September, 2015, arXiv: 1406.5017
O. K. Sheinman, “Lax operator algebras and integrable systems”, Russian Math. Surveys, 71:1 (2016), 109–156
17.
O. K. Sheinman, “Lax operator algebras and Lax equations”, after series of authors talks at Southeastern Lie Theory Workshop, College of Charleston, Charlestone, SC, USA, December 16–18, 2012, algebras, Lie superalgebras, vertex algebras and related topics, Proc. Sympos. Pure Math., 92, eds. K. C. Misra, D. K. Nakano, B. J. Parshall, Amer. Math. Soc., Providence, RI, 2016, 221–246http://bookstore.ams.org/pspum-92/
18.
O. K. Sheinman, Modern problems of mathematics, mechanics, and mathematical physics. Part II, Collected papers, Tr. Mat. Inst. Steklova, 294, MAIK Nauka/Interperiodica, Moscow, 2016, 325–327
2015
19.
O. K. Sheinman, “Lax operators algebras and gradings on semisimple Lie algebras”, Dokl. Math., 91:2 (2015), 160–162
20.
O. K. Sheinman, “Hierarchies of finite-dimensional Lax equations with a spectral parameter on a Riemann surface and semisimple Lie algebras”, Theoret. and Math. Phys., 185:3 (2015), 1816–1831
21.
O. K. Sheinman, “Semisimple Lie Algebras and Hamiltonian Theory of Finite-Dimensional Lax Equations with Spectral Parameter on a Riemann Surface”, Proc. Steklov Inst. Math., 290 (2015), 178–188
22.
Oleg K. Sheinman, “Global current algebras and localization on Riemann surfaces”, Mosc. Math. J., 15:4 (2015), 833–846
O. K. Sheinman, “Lax operator algebras of type $G_2$”, Dokl. Math., 89:2 (2014), 151–153
24.
O. K. Sheinman, “Lax operator algebras of type $G_2$”, Topology, Geometry, Integrable Systems, and Mathematical Physics: Novikov's Seminar 2012–2014, Advances in the Mathematical Sciences, Amer. Math. Soc. Transl. Ser. 2, 234, eds. V. M. Buchstaber, B. A. Dubrovin, I. M. Krichever, Amer. Math. Soc., Providence, RI, 2014, 373–392 , arXiv: 1304.2510
N. N. Andreev, V. M. Buchstaber, A. I. Garber, V. V. Kozlov, S. P. Konovalov, A. A. Mal'tsev, Yu. V. Nesterenko, S. P. Novikov, A. N. Parshin, I. Kh. Sabitov, A. L. Semenov, A. G. Sergeev, O. K. Sheinman, M. I. Shtogrin, E. V. Shchepin, “Nikolai Petrovich Dolbilin (on his 70th birthday)”, Russian Math. Surveys, 69:1 (2014), 181–182
2013
26.
O. K. Sheinman, “Lax equations and the Knizhnik–Zamolodchikov connection”, Geometric Methods in Physics, XXX Workshop, Białowieża, Poland, 2011, Trends in Mathematics, Springer, Basel, 2013, 405–413 , arXiv: 1009.4706
O. K. Sheinman, Current algebras on Riemann surfaces, De Gruyter Expositions in Mathematics, 58, Walter de Gruyter GmbH & Co, Berlin–Boston, 2012 , 150 pp.
O. K. Sheinman, “Lax operator algebras and Hamiltonian integrable hierarchies”, Russian Math. Surveys, 66:1 (2011), 145–171
2010
29.
V. M. Buchstaber, L. O. Chekhov, S. Yu. Dobrokhotov, S. M. Gusein-Zade, Yu. S. Ilyashenko, S. M. Natanzon, S. P. Novikov, G. I. Olshanski, A. K. Pogrebkov, O. K. Sheinman, S. B. Shlosman, M. A. Tsfasman, “Igor Krichever”, Mosc. Math. J., 10:4 (2010), 833–834
2009
30.
V. Buchstaber, S. Gusein-Zade, Yu. Ilyashenko, V. Kozlov, S. Natanzon, O. Sheinman, A. Sossinsky, D. Treschev, M. Tsfasman, “Armen Sergeev”, Mosc. Math. J., 9:2 (2009), 439–440
2008
31.
O. K. Sheinman, “On certain current algebras related to finite-zone integration”, Geometry, topology, and mathematical physics, Amer. Math. Soc. Transl. Ser. 2, 224, Amer. Math. Soc., Providence, RI, 2008, 271–284
32.
M. Schlichenmaier, O. K. Sheinman, “Central extensions of Lax operator algebras”, Russian Math. Surveys, 63:4 (2008), 727–766
33.
O. K. Sheinman, “Lax Operator Algebras and Integrable Hierarchies”, Proc. Steklov Inst. Math., 263 (2008), 204–213
34.
S. M. Gusein-Zade, Yu. S. Ilyashenko, G. A. Kabatiansky, S. K. Lando, A. G. Sergeev, O. K. Sheinman, O. V. Schwarzman, M. A. Tsfasman, È. B. Vinberg, “Sergey Natanzon”, Mosc. Math. J., 8:4 (2008), 843–844
2007
35.
I. M. Krichever, O. K. Sheinman, “Lax Operator Algebras”, Funct. Anal. Appl., 41:4 (2007), 284–294
2011
36.
O. K. Sheinman, “Krichever–Novikov algebras, their representations and applications in geometry and mathematical physics”, Proc. Steklov Inst. Math., 274, suppl. 1 (2011), 85–161
2005
37.
O. K. Sheinman, “Krichever–Novikov algebras and their representations”, Noncommutative geometry and representation theory in mathematical physics, Contemp. Math., 391, Amer. Math. Soc., Providence, RI, 2005, 313–321
38.
O. K. Sheinman, “Highest weight representations of Krichever–Novikov algebras and integrable systems”, Russian Math. Surveys, 60:2 (2005), 370–372
39.
O. K. Sheinman, “Projective Flat Connections on Moduli Spaces of Riemann Surfaces and the Knizhnik–Zamolodchikov Equations”, Proc. Steklov Inst. Math., 251 (2005), 293–304
2004
40.
O. K. Sheinman, “Affine Krichever-Novikov algebras, their representations and applications”, Geometry, topology, and mathematical physics, Amer. Math. Soc. Transl. Ser. 2, 212, Amer. Math. Soc., Providence, RI, 2004, 297–316
41.
M. Schlichenmaier, O. K. Sheinman, “Knizhnik–Zamolodchikov equations for positive genus and Krichever–Novikov algebras”, Russian Math. Surveys, 59:4 (2004), 737–770
2005
42.
O. K. Sheinman, Basic representation theory, MCCME, Moscow, 2005
2004
43.
I. M. Paramonova, O. K. Sheinman, Zadachi seminara “Algebry Li i ikh prilozheniya”, MTsNMO, M., 2004 , 48 pp.
2003
44.
O. K. Sheĭnman, “Second-orde Casimirs for the affine Krichever-Novikov algebras $\widehat{\mathfrak{gl}}\sb{g,2}$ and $\widehat{\mathfrak{sl}}\sb{g,2}$”, Fundamental mathematics today, MCCME, Moscow, 2003, 372–404
45.
V. M. Buchstaber, Yu. S. Ilyashenko, I. M. Krichever, O. K. Sheinman, A. B. Sossinski, M. A. Tsfasman, “Sergey Petrovich Novikov”, Mosc. Math. J., 3:4 (2003), 1206–1208
2001
46.
O. K. Sheinman, “The Fermion Model of Representations of Affine Krichever–Novikov Algebras”, Funct. Anal. Appl., 35:3 (2001), 209–219
47.
O. K. Sheinman, “Second order Casimirs for the affine Krichever–Novikov algebras $\widehat{\mathfrak{gl}}_{g,2}$ and $\widehat{\mathfrak{sl}}_{g,2}$”, Mosc. Math. J., 1:4 (2001), 605–628
O. K. Sheinman, “Second-order Casimir operators for the affine Krichever–Novikov algebras $\widehat{\mathfrak{gl}}_{g,2}$ and $\widehat{\mathfrak{sl}}_{g,2}$”, Russian Math. Surveys, 56:5 (2001), 986–987
49.
O. K. Sheinman, “Krichever–Novikov algebras and self-duality equations on Riemann surfaces”, Russian Math. Surveys, 56:1 (2001), 176–178
1999
50.
M. Schlichenmaier, O. K. Sheinman, “Wess–Zumino–Witten–Novikov theory, Knizhnik–Zamolodchikov equations, and Krichever–Novikov algebras”, Russian Math. Surveys, 54:1 (1999), 213–249
1998
51.
M. Schlichenmaier, O. K. Scheinman, “The Sugawara construction and Casimir operators for Krichever-Novikov algebras”, Complex analysis and representation theory, 1, J. Math. Sci. (New York), 92:2 (1998), 3807–3834 , arXiv: q-alg/9512016
O. K. Sheinman, “Orbits and representations of Krichever-Novikov affine-type algebras”, Algebra, 3, J. Math. Sci., 82:6 (1996), 3834–3843
53.
O. K. Sheinman, “Integrable many-body systems of Calogero-Moser-Sutherland type in high dimension”, Internat. Math. Res. Notices, 1996, no. 1, 27–36
1995
54.
O. K. Sheĭnman, “Representations of Krichever-Novikov algebras”, Topics in topology and mathematical physics, Amer. Math. Soc. Transl. Ser. 2, 170, Amer. Math. Soc., Providence, RI, 1995, 185–197
55.
O. K. Sheinman, “Weil Modules with Highest Weight for Affine Lie Algebras on Riemann Surfaces”, Funct. Anal. Appl., 29:1 (1995), 44–55
56.
O. K. Sheinman, “The Krichever–Novikov algebras and CCC-groups”, Russian Math. Surveys, 50:5 (1995), 1097–1099
1993
57.
O. K. Sheinman, “Affine Lie Algebras on Riemann Surfaces”, Funct. Anal. Appl., 27:4 (1993), 266–272
1992
58.
O. K. Sheinman, “Highest weight modules over certain quasigraded Lie algebras on elliptic curves”, Funct. Anal. Appl., 26:3 (1992), 203–208
1990
59.
O. K. Sheinman, “Elliptic affine Lie algebras”, Funct. Anal. Appl., 24:3 (1990), 210–219
1989
60.
O. K. Sheinman, “Hamiltonian string formalism and discrete groups”, Funct. Anal. Appl., 23:2 (1989), 124–128
1988
61.
O. K. Sheinman, “Kernel of evolution operator in the space of sections of a vector bundle as integral over trajectories”, Funct. Anal. Appl., 22:3 (1988), 251–253
1985
62.
O. K. Sheinman, “Dedekind $\eta$-function and indefinite quadratic forms”, Funct. Anal. Appl., 19:3 (1985), 232–234
1983
63.
S. S. Lebedev, O. K. Sheĭnman, “Dual approach to integer programming”, Engrg. Cybernetics, 21:1 (1983), 140–147 (1984)
1981
64.
S. S. Lebedev, O. K. Sheĭnman, “Duality in integer programming”, Èkonom. i Mat. Metody, 17:3 (1981), 593–608
1980
65.
O. K. Šeĭnman, “Duality and subadditive functions in integer programming”, Èkonom. i Mat. Metody, 16:4 (1980), 808–810
1979
66.
O. K. Šeĭnman, “Group-theoretic methods of constructing cuts in integer programming”, Mathematical methods of solution of economic problems, v. 8, Optimal'noe Planirovanie i Upravlenie [Optimal Planning and Control Series], Nauka, Moscow, 1979, 44–49
1978
67.
O. K. Sheinman, “Duality in some discrete minimization problems”, Russian Math. Surveys, 33:2 (1978), 251–252
Об обращении преобразования Абеля–Прима с помощью тэта функций O. K. Sheinman Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) March 6, 2024 18:30
Обратная задача для систем Хитчина над $SL_2$ O. K. Sheinman Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) April 20, 2022 18:30
Продвижения в теории систем Хитчина O. K. Sheinman Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) April 24, 2019 18:30
Спектральные кривые и координаты Дарбу для систем Хитчина O. K. Sheinman Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) October 24, 2018 18:30
Спектральные кривые гиперэллиптических систем Хитчина O. K. Sheinman Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) May 23, 2018 16:45
Некоторые редукции систем Хитчина ранга 2 родов 2 и 3 O. K. Sheinman Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) August 30, 2017 14:00
Алгебры операторов Лакса O. K. Sheinman Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) March 21, 2007
Geometry, Topology, and Mathematical Physics, Collected papers. Dedicated to Academician Sergei Petrovich Novikov on the occasion of his 85th birthday, Trudy Mat. Inst. Steklova, 325, ed. V. M. Buchstaber, P. G. Grinevich, I. A. Dynnikov, O. K. Sheinman, 2024, 333 с. http://mi.mathnet.ru/book1987
Topology and physics, Collected papers. Dedicated to Academician Sergei Petrovich Novikov on the occasion of his 80th birthday, Trudy Mat. Inst. Steklova, 302, ed. V. M. Buchstaber, I. A. Dynnikov, O. K. Sheinman, 2018, 399 с. http://mi.mathnet.ru/book1715
O. K. Sheinman, Krichever–Novikov Algebras, their Representations and Applications in Geometry and Mathematical Physics, Sovrem. Probl. Mat., 10, 2007, 142 с. http://mi.mathnet.ru/book230
2024
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