Zobrazeno 1 - 10
of 52
pro vyhledávání: '"Evgeny Feigin"'
Publikováno v:
Forum of Mathematics, Sigma, Vol 9 (2021)
We compute the spaces of sections of powers of the determinant line bundle on the spherical Schubert subvarieties of the Beilinson–Drinfeld affine Grassmannians. The answer is given in terms of global Demazure modules over the current Lie algebra.
Externí odkaz:
https://doaj.org/article/ed841c01ec674aa0ac58b5f6d794c8b9
Autor:
Evgeny Feigin
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 4, p 070 (2008)
Let L be the basic (level one vacuum) representation of the affine Kac-Moody Lie algebra ^g. The m-th space F_m of the PBW filtration on L is a linear span of vectors of the form x_1dots x_lv_0, where l ≤ m, x_i in ^g and v_0 is a highest weight ve
Externí odkaz:
https://doaj.org/article/19bcb780b0734dd78fd695bbda474069
Publikováno v:
Israel Journal of Mathematics. 248:441-479
Publikováno v:
International Mathematics Research Notices.
We study toric degenerations of semi-infinite Grassmannians (a.k.a. quantum Grassmannians). While the toric degenerations of the classical Grassmannians are well studied, the only known example in the semi-infinite case is due to Sottile and Sturmfel
Publikováno v:
Oberwolfach Reports. 16:2869-2909
For a given symmetric quiver $Q$, we define a supercommutative quadratic algebra $\mathcal{A}_Q$ whose Poincar\'e series is related to the motivic generating function of $Q$ by a simple change of variables. The Koszul duality between supercommutative
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1db81d0823f1e4e0c25a9be84c1fff47
http://arxiv.org/abs/2111.07588
http://arxiv.org/abs/2111.07588
Publikováno v:
Journal für die reine und angewandte Mathematik (Crelles Journal). 2020:181-216
We study the nonsymmetric Macdonald polynomials specialized at infinity from various points of view. First, we define a family of modules of the Iwahori algebra whose characters are equal to the nonsymmetric Macdonald polynomials specialized at infin
Publikováno v:
Forum of Mathematics, Sigma. 9
We compute the spaces of sections of powers of the determinant line bundle on the spherical Schubert subvarieties of the Beilinson- Drinfeld affine Grassmannians. The answer is given in terms of global Demazure modules over the current Lie algebra.
Autor:
Ievgen Makedonskyi, Evgeny Feigin
Publikováno v:
International Mathematics Research Notices
The goal of this paper is twofold. First, we write down the semi-infinite Pl\"ucker relations, describing the Drinfeld-Pl\"ucker embedding of the (formal version of) semi-infinite flag varieties in type A. Second, we study the homogeneous coordinate
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8269c8f179b6efda6d8ceb3ea2501e7d
https://hdl.handle.net/21.11116/0000-0007-A262-321.11116/0000-0007-A264-121.11116/0000-0007-A265-0
https://hdl.handle.net/21.11116/0000-0007-A262-321.11116/0000-0007-A264-121.11116/0000-0007-A265-0
Publikováno v:
Advances in Mathematics. 330:997-1033
We introduce generalized global Weyl modules and relate their graded characters to nonsymmetric Macdonald polynomials and nonsymmetric q-Whittaker functions. In particular, we show that the series part of the nonsymmetric q-Whittaker function is a ge