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Sheinman Oleg Karlovich
(full list of publications)
| by years | scientific publications | by types |


Articles


   2018
1. O. K. Sheinman, “Some reductions of rank 2 and genera 2 and 3 Hitchin systems”, Dokl. Akad. Nauk, 2018 (to appear)  mathnet

   2017
2. O .K. Sheinman, “Matrichnye divizory na rimanovykh poverkhnostyakh i algebry operatorov Laksa”, Trudy Moskovskogo matematicheskogo obschestva, 78:1, K 80-letiyu E.B.Vinberga (2017), 129–144 , arXiv: 1701.01807
3. O. K. Sheinman, “Almost graded current algebras on the symmetric square of a curve”, Russian Math. Surveys, 72:2 (2017), 384–386  mathnet  crossref  crossref  mathscinet  isi  elib  scopus

   2016
4. 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  mathnet (cited: 3)  crossref  mathscinet (cited: 2)  zmath  isi (cited: 3)  elib (cited: 1)  scopus
5. O. K. Sheinman, “Lax operator algebras and integrable systems”, Russian Math. Surveys, 71:1 (2016), 109–156  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 2)  elib  elib  scopus
6. 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, 221–246 http://bookstore.ams.org/pspum-92/  mathscinet

   2015
7. O. K. Sheinman, “Lax operators algebras and gradings on semisimple Lie algebras”, Dokl. Math., 91:2 (2015), 160–162  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 4)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 2)
8. 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  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 3)  elib  scopus (cited: 3)
9. 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  mathnet  crossref  crossref  isi (cited: 2)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)
10. Oleg K. Sheinman, “Global current algebras and localization on Riemann surfaces”, Mosc. Math. J., 15:4 (2015), 833–846  mathnet (cited: 1)  mathscinet  zmath  isi (cited: 1)  elib

   2014
11. O. K. Sheinman, “Lax operator algebras of type $G_2$”, Dokl. Math., 89:2 (2014), 151–153  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 6)  elib (cited: 3)  elib (cited: 3)  scopus (cited: 3)
12. 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  crossref  mathscinet (cited: 1)

   2013
13. 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  mathnet  crossref  mathscinet  zmath  scopus (cited: 1)

   2011
14. O. K. Sheinman, “Lax operator algebras and Hamiltonian integrable hierarchies”, Russian Math. Surveys, 66:1 (2011), 145–171  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 2)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 2)

   2008
15. 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  mathscinet (cited: 2)  zmath
16. M. Schlichenmaier, O. K. Sheinman, “Central extensions of Lax operator algebras”, Russian Math. Surveys, 63:4 (2008), 727–766  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 4)  elib (cited: 6)  elib (cited: 6)  scopus (cited: 7)
17. O. K. Sheinman, “Lax Operator Algebras and Integrable Hierarchies”, Proc. Steklov Inst. Math., 263 (2008), 204–213  mathnet  crossref  mathscinet  zmath  zmath  isi (cited: 1)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)

   2007
18. I. M. Krichever, O. K. Sheinman, “Lax Operator Algebras”, Funct. Anal. Appl., 41:4 (2007), 284–294  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 13)  elib (cited: 12)  scopus (cited: 10); 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  crossref  zmath  isi  elib  scopus

   2005
19. 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  crossref  mathscinet (cited: 2)  zmath
20. O. K. Sheinman, “Highest weight representations of Krichever–Novikov algebras and integrable systems”, Russian Math. Surveys, 60:2 (2005), 370–372  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)
21. 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  mathnet  mathscinet  zmath

   2004
22. 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  mathscinet (cited: 9)  zmath
23. M. Schlichenmaier, O. K. Sheinman, “Knizhnik–Zamolodchikov equations for positive genus and Krichever–Novikov algebras”, Russian Math. Surveys, 59:4 (2004), 737–770  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 10)  elib (cited: 10)  scopus (cited: 12)

   2003
24. 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  mathscinet

   2001
25. O. K. Sheinman, “The Fermion Model of Representations of Affine Krichever–Novikov Algebras”, Funct. Anal. Appl., 35:3 (2001), 209–219  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 5)  elib  scopus (cited: 4)
26. 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  mathnet (cited: 8)  mathscinet (cited: 5)  zmath
27. 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  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 2)  scopus (cited: 2)
28. O. K. Sheinman, “Krichever–Novikov algebras and self-duality equations on Riemann surfaces”, Russian Math. Surveys, 56:1 (2001), 176–178  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 3)  scopus (cited: 3)

   1999
29. 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  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 22)  scopus (cited: 24)

   1998
30. 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  crossref  mathscinet (cited: 17)  zmath  scopus (cited: 23)

   1996
31. O. K. Sheinman, “Orbits and representations of Krichever-Novikov affine-type algebras”, Algebra, 3, J. Math. Sci., 82:6 (1996), 3834–3843  crossref  mathscinet  zmath  scopus
32. O. K. Sheinman, “Integrable many-body systems of Calogero-Moser-Sutherland type in high dimension”, Internat. Math. Res. Notices, 1996, no. 1, 27–36  crossref  mathscinet  zmath  elib  scopus

   1995
33. 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  mathscinet (cited: 3)  zmath  isi (cited: 13)
34. O. K. Sheinman, “Weil Modules with Highest Weight for Affine Lie Algebras on Riemann Surfaces”, Funct. Anal. Appl., 29:1 (1995), 44–55  mathnet  crossref  mathscinet  zmath  isi (cited: 4)  scopus (cited: 4)
35. O. K. Sheinman, “The Krichever–Novikov algebras and CCC-groups”, Russian Math. Surveys, 50:5 (1995), 1097–1099  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)

   1993
36. O. K. Sheinman, “Affine Lie Algebras on Riemann Surfaces”, Funct. Anal. Appl., 27:4 (1993), 266–272  mathnet  crossref  mathscinet  zmath  isi (cited: 10)  scopus (cited: 16)

   1992
37. O. K. Sheinman, “Highest weight modules over certain quasigraded Lie algebras on elliptic curves”, Funct. Anal. Appl., 26:3 (1992), 203–208  mathnet  crossref  mathscinet  zmath  isi (cited: 10)  scopus (cited: 10)

   1990
38. O. K. Sheinman, “Elliptic affine Lie algebras”, Funct. Anal. Appl., 24:3 (1990), 210–219  mathnet  crossref  mathscinet  zmath  isi (cited: 15)  scopus (cited: 20)

   1989
39. O. K. Sheinman, “Hamiltonian string formalism and discrete groups”, Funct. Anal. Appl., 23:2 (1989), 124–128  mathnet  crossref  mathscinet  zmath  isi  scopus

   1988
40. 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  mathnet  crossref  mathscinet  zmath  isi  scopus

   1985
41. O. K. Sheinman, “Dedekind $\eta$-function and indefinite quadratic forms”, Funct. Anal. Appl., 19:3 (1985), 232–234  mathnet  crossref  mathscinet  zmath  isi  scopus

   1983
42. S. S. Lebedev, O. K. Sheĭnman, “Dual approach to integer programming”, Engrg. Cybernetics, 21:1 (1983), 140–147 (1984)  mathscinet  zmath  scopus

   1981
43. S. S. Lebedev, O. K. Sheĭnman, “Duality in integer programming”, Èkonom. i Mat. Metody, 17:3 (1981), 593–608  mathscinet  zmath

   1980
44. O. K. Šeĭnman, “Duality and subadditive functions in integer programming”, Èkonom. i Mat. Metody, 16:4 (1980), 808–810  mathscinet

   1979
45. 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  mathscinet

   1978
46. O. K. Sheinman, “Duality in some discrete minimization problems”, Russian Math. Surveys, 33:2 (1978), 251–252  mathnet  crossref  mathscinet  zmath  adsnasa

Books


   2012
47. O. K. Sheinman, Current algebras on Riemann surfaces, De Gruyter Expositions in Mathematics, 58, Walter de Gruyter GmbH & Co, Berlin–Boston, 2012 , 150 pp.  crossref  mathscinet (cited: 8)

   2007
48. O. K. Sheinman, “Algebry Krichevera–Novikova, ikh predstavleniya i prilozheniya v geometrii i matematicheskoi fizike”, Sovr. probl. matem., 10, MIAN, M., 2007, 3–140 , 142 pp.  mathnet (cited: 1)  mathnet  crossref  zmath

   2004
49. O. K. Sheinman, Osnovy teorii predstavlenii, MTsNMO, M., 2004 , 64 pp.; O. K. Sheinman, Basic representation theory, MCCME, Moscow, 2005
50. I. M. Paramonova, O. K. Sheinman, Zadachi seminara “Algebry Li i ikh prilozheniya”, MTsNMO, M., 2004 , 48 pp.

Personalia


   2014
51. 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  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib

   2010
52. 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  mathnet

   2009
53. 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  mathnet  mathscinet

   2008
54. 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  mathnet  isi

   2003
55. 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  mathnet  mathscinet

Letters, errata


   2016
56. 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  mathnet  crossref  mathscinet  elib
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