Локтев Сергей Александрович

Публикации

1) С.А. Локтев, Б.Л. Фейгин Когомологии нильпотентных подалгебр алгебры slc2, Функц. анал. и прил., т. 30 (1996) вып. 4, с. 80–83.
2) Feigin B.L, Loktev S.A., On generalized Kostka polynomials and the quantum Verlinde rule, Differential topology, infinite-dimensional Lie algebras, and applications, Amer. Math. Soc. Transl. Ser. 2, Vol. 194 (1999), p. 61–79, math.QA/9812093
3) B.Feigin, R.Kedem, S.Loktev, T.Miwa, E.Mukhin, Combinatorics of the slc2 Spaces of Coinvariants, Transformation Groups, vol. 6, (2001), no.1, p. 25-52, RIMS–1243, math-ph/9908003
4) С.А. Локтев, Б.Л. Фейгин О финитизации тождеств Гордона, Функц. анал. и прил., т. 35 (2001), вып. 1 c. 53-61; англ. версия math.QA/0006221
5) С.А. Локтев, Фермионные формулы для характеров представлений slc2, Успехи математических наук, т. 56 (2001), вып. 1, с. 153-154.
6) B. Feigin, R. Kedem, S. Loktev, T. Miwa, E. Mukhin, Combinatorics of the slc2 spaces of coinvariants: loop Heisenberg modules and recursion, Selecta Mathematica, New Series, 8(2002) 419-474, RIMS–1296, math.QA/0009198
7) B. Feigin, R. Kedem, S. Loktev, T. Miwa, E. Mukhin, Combinatorics of the slc2 spaces of coinvariants: Dual Functional Realization and Recursion, Compositio Mathematica, 134(2) (2002), p. 193-241, math.QA/0012190
8) B. L. Feigin, S. A. Loktev, I. Yu. Tipunin, Coinvariants for Lattice VOAs and q-Supernomial Coefficients, Comm. Math. Phys.229 (2002), no. 2, 271–292, math.QA/0107003
9) B. Feigin, M. Jimbo, S. Loktev, T. Miwa, E. Mukhin, Bosonic formulas for (k,l)-admissible partitions, The Ramanujan journal, 7 (2003), no. 4, math.QA/0107054
10) B. Feigin, M. Jimbo, S. Loktev, T. Miwa, E. Mukhin, Addendum to bosonic formulas for (k,l)-admissible partitions, The Ramanujan journal, 7(2003), no.4, math.QA/0112104
11) B. Feigin, M. Jimbo, R. Kedem, S. Loktev, T. Miwa, Spaces of coinvariants and fusion product I. From equivalence theorem to Kostka polynomials, Duke Math. Journal, 125 (2004), no. 3, P. 549–588, math.QA/0205324
12) B. Feigin, M. Jimbo, R. Kedem, S. Loktev, T. Miwa, Spaces of coinvariants and fusion product II. Affine sl2 character formulas in terms of Kostka polynomials, J. Algebra 279 (2004), no. 1, 147–179, math.QA/0208156
13) B. Feigin, M. Jimbo, S. Loktev, T. Miwa, Two character formulas for slc2 spaces of coinvariants, Proceedings of 6th International Workshop on Conformal Field Theory and Integrable Models. Internat. J. Modern Phys. A 19 (2004), May, suppl., 134–154, math.QA/0211354
14) B. Feigin, S. Loktev, Multi-dimensional Weyl Modules and Symmetric Functions, Comm. Math. Phys. 251 (2004), no. 3, 427–445, math.QA/0212001
15) B. Feigin, S. Loktev, Deformation of Weyl Modules and Generalized Parking Functions, International Math. Res. Notes 51 (2004), 2719–2750, math.QA/0312158
16) V. Chari, S. Loktev, Weyl, Demazure and Fusion modules for the current algebra of slr+1, Adv. Math., в печати, math.QA/0502165
17) B. Feigin, A.M. Kirillov, S. Loktev, Combinatorics and Geometry of Higher Level Weyl Modules, AMS trans., в печати, math.QA/0503315

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