Demazure character formula for semi-infinite flag varieties

被引：12
|
作者：
Kato, Syu [1 ]
机构：
[1] Kyoto Univ, Dept Math, Kyoto 6068502, Japan
来源：
MATHEMATISCHE ANNALEN | 2018年 / 371卷 / 3-4期
关键词：
EXTREMAL WEIGHT MODULES; QUANTUM K-THEORY; WEYL MODULES; MACDONALD POLYNOMIALS; CRYSTAL BASES; REPRESENTATIONS; ALGEBRAS;
D O I：
10.1007/s00208-018-1652-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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.
引用
收藏
页码：1769 / 1801
页数：33
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