Demazure character formula for semi-infinite flag varieties

作者:Kato Syu*
来源:Mathematische Annalen, 2018, 371(3-4): 1769-1801.
DOI:10.1007/s00208-018-1652-5

摘要

We prove 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 global sections of a line bundle on 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.

  • 出版日期2018-8