带权的Coxeter群(_n,l_(2n))的左胞腔（英文）

Left Cells of Weighted Coxeter Group(_n,l_(2n))

仿射Weyl群五_(2n)在某个群自同构下的固定点集合可以看作仿射Weyl群_n.因此通过研究_(2n)在这个群自同构下的固定点集合,可以得出加权的Coxeter群_n中划分32^(n-1)对应的所有胞腔的清晰刻画.

The fixed point set of the affine Weyl group A2n can be seen as the affine Weyl group Cn under a certain automorphism of A2n. Then by giving an explicit description of the fixed point set of A2n under this automorphism, we can describe all the cells in weighted Coxeter group Cn corresponding to the partition 32^n-1.