B_n型仿射Weyl群a值5的D_2×A_1~3型双边胞腔

The affine Weyl group of type B_n

摘要: 描述了 Bn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≥ 7时 ,这样的双边胞腔只有 1个 ,记为Ω,且Ω含有 12 4n(n-1 ) (n-2 ) (n-3 )个左胞腔 .所使用的方法是同 Chen,C.D.的一样找出这类双边胞腔中所有特异对合元 .

Abstract: The number of the left cells in the two sided cell Ω of type D 2×A 3 1 with a value 5 in the affine Weyl group of type B n is counted.By using the methods of and ,all distinguished involutions in the two sided cell Ω are found.When n≥7,the two sided cell Ω contains 124n(n-1)(n-2)(n-3) left cells.