Demazure character formula for semi-infinite flag varieties
Representation Theory
2018-09-06 v4 Algebraic Geometry
Quantum Algebra
Abstract
We provide a proof that every Schubert variety of a semi-infinite flag variety is projectively normal. This gives us an interpretation of a Demazure module of a global Weyl module of a current Lie algebra as the (dual) space of the space of global sections of a semi-infinite Schubert variety. Moreover, we give geometric realizations of Feigin-Makedonskyi's generalized Weyl modules, and the specialization of non-symmetric Macdonald polynomials.
Keywords
Cite
@article{arxiv.1605.04953,
title = {Demazure character formula for semi-infinite flag varieties},
author = {Syu Kato},
journal= {arXiv preprint arXiv:1605.04953},
year = {2018}
}
Comments
30pages, v3: corrected Corollary 5.2 and vanishing theorems in section 6, v4: title changed, many small changes, to appear in Math. Ann