拟分裂情形下仿射Weyl群_n的胞腔(英文)

Cells of the affine Weyl group _n in quasi-split case

仿射Weyl群Cn可以看做仿射Weyl群A2n在某个群自同构下的固定点集合.通过研究A2n在这个群自同构下的固定点集合,可以给出加权的Coxeter群Cn对应于划分2n1的所有胞腔的清晰刻画.

The affine Weyl group Cn under a certain automorphism of A2n can be seen as a fixed point set of the affine Weyl group A2n. By giving an explicit description of the fixed point set of A2n under this automorphism, we shall give the explicit description of the cells in weighted Coxeter group Cn corresponding to the partition 2n1.