仿射Weyl群6的a值5的左胞腔(英文)  

Left Cells with a-Value 5 in the Affine Weyl Group _6

作　　者：张晓霞[1] 张细苟[1] 

机构地区：[1]上饶师范学院,江西上饶334001

出　　处：《上饶师范学院学报》2005年第6期5-9,共5页Journal of Shangrao Normal University

摘　　要：Coxeter群的胞腔是1979年Kazhdan和Lusztig在[7]中定义的,这些胞腔理论在代数群的表示理论中发挥了重要的作用。对一些特殊的情况,胞腔的分类已经明确地给出了,例如,对于秩为2的群参见[10],对于A^n参见[8],对于a值4的典范型和F^4参见[3][4][5][18]。本文利用时俭益的运算算法给出了仿射Wey1群E^6的a值等于5的所有左胞腔。The cells of a Coxeter group were defined by Kazhdan and Luszting in [7] in 1979,the theory of cells play an important role in representation theory of algebraic group. For some special cases, the cells have been described expllcitly,such as,for W of rank 2,see [10] ;for W of type An^-,;see [8], for a-value 4 of the classical types and the affine group F4^- ,see[3] ,[4], [5], [8]. In the present paper, we aim to describe the left cells in the affine Weyl group of the exeeptional types E6^- by using Shi＇ s algorithm.

关 键 词：双边胞腔 左(右)胞腔 a函数 

分 类 号：O187.2[理学—数学]