全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...

拟分裂情形下仿射Weyl群$\widetilde{\bmC}_{\bmn}$的胞腔

, PP. 77-92

Keywords: 仿射\Weyl群,加权的\Coxeter群,拟分裂情形,整数n的划分,左胞腔,双边胞腔

Full-Text   Cite this paper   Add to My Lib

Abstract:

仿射\Weyl群\$\widetilde{C}_n$可以看做仿射\Weyl群\$\widetilde{A}_{2n}$在某个群自同构下的固定点集合.通过研究\$\widetilde{A}_{2n}$在这个群自同构下的固定点集合,可以给出加权的\Coxeter群\$\widetilde{C}_n$对应于划分\$\bf{2^{n}1}$的所有胞腔的清晰刻画.

References

[1]  LUSZTIG G. {Hecke algebra with unequal parameters}~[M].~CRM Monograph Series 18. AMS, 2003.
[2]  {2} SHI J Y. {Cells of the affine Weyl group $\widetilde{C}_n$ in a quasi-split case} [EB/OL]. [2012-12-29]. http://math.ecnu.edu.cn/\\$^\sim$jyshi/myart/quasisplit1.pdf.
[3]  SHI J Y. {The Kazhdan-Lusztig cells in certain affine Weyl groups}~[M]. Lecture Notes in Math 1179. Springer-Verlag, 1986.
[4]  GREENE C. {Some partitions associated with a partially ordered set}~[J]. J Comb Theory(A), 1976,20(1): 69-79
[5]  HUANG Q. {Left cells in the weighted Coxeter group $\widetilde{C}_n$}~[J]. Journal of East China Normal University (Natural scinece), 2013(1): 91-103.
[6]  SHI J Y. {The partial order on two-sided cells of certain affine Weyl groups}~[J]. J Algebra, 1996, 179(2): 607-621.
[7]  YUE M S. {The left cells of affine Weyl group $\widetilde{C}_4$ in quasi-split case}~[J]. Journal of East China Normal University (Natural scinece), 2013(1): 61-75.

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133