【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 .所使用的方法是找出这类双边胞腔中所有特异对合元更多还原

【Abstract】 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.更多还原