The cells of the affine Weyl group C-n in a certain quasi-split case
The cells of the affine Weyl group C-n in a certain quasi-split case
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某种准分裂情况下的仿射 Weyl 群 C-n 的元胞
DOI：
10.1016/j.jalgebra.2014.09.008
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发表时间：
2015
影响因子：
0.9
通讯作者：
时俭益
中科院分区：
文献类型：
--
作者：
时俭益
The affine Weyl group. $(\widetilde{C}_n,S)$ can be realized as the fixed point set of the. affine Weyl group $(\widetilde{A}_{2n-1},\widetilde{S})$ under a certain group. automorphism $\alpha$ with $\alpha(\widetilde{S})=\widetilde{S}$. Let $\widetilde{\ell}$ be the length. function of $\widetilde{A}_{2n-1}$. We study the cells of the. weighted Coxeter group $(\widetilde{C}_n,\widetilde{\ell})$. The main results of. the paper are to give an explicit description for all the cells of. $(\widetilde{C}_n,\widetilde{\ell})$ corresponding to the. partitions $\bold{k1^{2n-k}}$ and $\bold{h21^{2n-h-2}}$ for all $1\leqslant k\leqslant 2n$ and $2\leqslant h\leqslant 2n-2$, and also for all the cells of. $(\widetilde{C}_3,\widetilde{\ell})$.
The affine Weyl group. $(\widetilde{C}_n,S)$ can be realized as the fixed point set of the. affine Weyl group $(\widetilde{A}_{2n-1},\widetilde{S})$ under a certain group. automorphism $\alpha$ with $\alpha(\widetilde{S})=\widetilde{S}$. Let $\widetilde{\ell}$ be the length. function of $\widetilde{A}_{2n-1}$. We study the cells of the. weighted Coxeter group $(\widetilde{C}_n,\widetilde{\ell})$. The main results of. the paper are to give an explicit description for all the cells of. $(\widetilde{C}_n,\widetilde{\ell})$ corresponding to the. partitions $\bold{k1^{2n-k}}$ and $\bold{h21^{2n-h-2}}$ for all $1\leqslant k\leqslant 2n$ and $2\leqslant h\leqslant 2n-2$, and also for all the cells of. $(\widetilde{C}_3,\widetilde{\ell})$.