ON THE FORMAL AFFINE HECKE ALGEBRA

被引：8
|
作者：
Zhong, Changlong [1 ,2 ]
机构：
[1] Fields Inst, Toronto, ON, Canada
[2] Univ Ottawa, Ottawa, ON K1N 6N5, Canada
来源：
JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU | 2015年 / 14卷 / 04期
基金：
加拿大自然科学与工程研究理事会;
关键词：
formal group law; affine Hecke algebra; formal group algebra; COHOMOLOGY; INVARIANTS;
D O I：
10.1017/S1474748014000188
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the action of the formal affine Hecke algebra on the formal group algebra, and show that the the formal affine Hecke algebra has a basis indexed by the Weyl group as a module over the formal group algebra. We also define a concept called the normal formal group law, which we use to simplify the relations of the generators of the formal affine Demazure algebra and the formal affine Hecke algebra.
引用
收藏
页码：837 / 855
页数：19
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