Kazhdan-Lusztig Basis and a Geometric Filtration of an Affine Hecke Algebra
Kazhdan-Lusztig Basis and a Geometric Filtration of an Affine Hecke Algebra
复制标题
DOI：
10.1017/s0027763000026908
复制
发表时间：
2004-11
影响因子：
0.8
通讯作者：
T. Tanisaki;N. Xi
中科院分区：
文献类型：
--
作者：
T. Tanisaki;N. Xi
根据Kazhdan-Lusztig和Ginzburg的观点，仿射Weyl群的Hecke代数等同于Steinberg三簇的等变K-群。K-群具有一个由幂零簇的闭G-稳定子簇索引的滤子，其中G是对应的环上的约化代数群。在本文中，我们将证明在A型的情况下，过滤是兼容的Kazhdan-Lusztig基础的Hecke代数。
Abstract According to Kazhdan-Lusztig and Ginzburg, the Hecke algebra of an affine Weyl group is identified with the equivariant K-group of Steinberg’s triple variety. The K-group is equipped with a filtration indexed by closed G-stable subvarieties of the nilpotent variety, where G is the corresponding reductive algebraic group over ℂ. In this paper we will show in the case of type A that the filtration is compatible with the Kazhdan-Lusztig basis of the Hecke algebra.