Cells of the affine Weyl group $\widetilde{\bm C}_{\bm n}$ in quasi-split case

YUE Ming-shi

Issue 3

Jul. 2014

Turn off MathJax

Article Contents

Article Navigation > Journal of East China Normal University (Natural Sciences) > 2014 > (3): 77-92

YUE Ming-shi. Cells of the affine Weyl group $\widetilde{\bm C}_{\bm n}$ in quasi-split case[J]. Journal of East China Normal University (Natural Sciences), 2014, (3): 77-92.

Citation:

YUE Ming-shi. Cells of the affine Weyl group $\widetilde{\bm C}_{\bm n}$ in quasi-split case[J]. Journal of East China Normal University (Natural Sciences), 2014, (3): 77-92.

YUE Ming-shi. Cells of the affine Weyl group $\widetilde{\bm C}_{\bm n}$ in quasi-split case[J]. Journal of East China Normal University (Natural Sciences), 2014, (3): 77-92.

Citation:

YUE Ming-shi. Cells of the affine Weyl group $\widetilde{\bm C}_{\bm n}$ in quasi-split case[J]. Journal of East China Normal University (Natural Sciences), 2014, (3): 77-92.

PDF( 530 KB)

Cells of the affine Weyl group $\widetilde{\bm C}_{\bm n}$ in quasi-split case

YUE Ming-shi

1.
Department of Logistics, Linyi University, Linyi Shandong 276000, China

Received Date: 2013-05-01
Rev Recd Date: 2013-08-01
Publish Date: 2014-05-25

Abstract

Abstract

The affine Weyl group $\widetilde{C}_n$ under a certain automorphism of $\widetilde{A}_{2n}$ can be seen as a fixed point set of the affine Weyl group $\widetilde{A}_{2n}$. By giving an explicit description of the fixed point set of $\widetilde{A}_{2n}$ under this automorphism, we shall give the explicit description of the cells in weighted Coxeter group $\widetilde{C}_n$ corresponding to the partition $\bf{2^{n}1}$.
- affine Weyl group,
- weighted Coxeter group,
- quasi-split case,
- partitions of $n$,
- left cells,
- two-sided cells

FullText(HTML)

References(1)

References

[1]

{1} LUSZTIG G. {Hecke algebra with unequal parameters}~[M].~CRM Monograph Series 18. AMS, 2003.

{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.

Relative Articles

Supplements(0)

Cited By

Proportional views