_n型仿射Weyl群a值5的A_1^5型双边胞腔  

Two-sided Cells of Type A_1~5with A-value 5 in Affine Weyl Group of Type _n

作　　者：刘家春[1] 陈承东[1] 

机构地区：[1]同济大学应用数学系,上海200092

出　　处：《同济大学学报（自然科学版）》2003年第6期749-752,共4页Journal of Tongji University:Natural Science

基　　金：国家自然科学基金资助项目 ( 10 2 710 88)

摘　　要：描述了n 型仿射Weyl群W的a值为 5的一类特殊双边胞腔中左胞腔的个数 ,并计算出当n≥ 9时 ,这样的双边胞腔仅有 1个 ,记为Ω ,其中n =9时 ,含 5 12 =2 9个左胞腔 ;当n≥ 10时 ,含有 (1/ 12 0 ) (n5- 5n4+2 5n3+5n2 +94n +12 0 )个左胞腔 .In this paper we count the number of the left cells in the two sided cells of type A 5 1 with a value 5 in the affine Weyl group W of type B～ n ,and work out when n≥9 it contains only one two sided cell,noted as Ω,which contains 512 left cells when n=9 ,and contains (1/120) ( n 5-5n 4+25n 3+5n 2+94n+120 ) left cells when n≥10 .The method we used is to find all distinguished involutions in the two sided cell Ω.

关 键 词：仿射WEYL群 双边胞腔 左胞腔 HECKE代数 

分 类 号：O152.6[理学—数学]