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.
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页码：837 / 855
页数：19
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