<em>E</em><sub>6</sub>型Weyl群中左胞腔的左连通性

米倩倩; 时俭益

E₆型Weyl群中左胞腔的左连通性

1.
华东师范大学~~数学系, 上海 200241

详细信息

中图分类号: O152
计量
- 文章访问数: 1778
- HTML全文浏览量: 17
- PDF下载量: 1665
- 被引次数: 0
出版历程
- 收稿日期: 2012-02-01
- 修回日期: 2012-05-01
- 刊出日期: 2013-01-25

Left-connectedness of left cells in the Weyl Group of type E₆

1.
Department of Mathematics, East China Normal University, Shanghai 200241, China

摘要

摘要: 首先通过计算机编程找出~$E_{6}$~型~Weyl~群左胞腔的所有极短元, 利用这些极短元证明了~$E_6$~型~Weyl~群的所有左胞腔都是左连通的, 从而证明了~Lusztig~关于左胞腔左连通性的一个猜想在~$E_6$~型~Weyl~群中是成立的.
- Weyl~群 /
- 左胞腔 /
- 双边胞腔 /
- 左连通性
Abstract: We showed that all the left cells in the Weyl group $E_{6}$ were left-connected, verifying a conjecture of Lusztig in our case.
- Weyl group /
- left cells /
- two-sided cells /
- left-connectedness

HTML全文

参考文献(1)

[1]

{1}

KAZHDAN D, LUSZTIG G. Representation of Coxeter groups and Hecke

algebras[J]. Invent Math 1979, 53: 165-184.
{2}

ASAI T, KAWANAKAN, SPALTENSTEIN N, et al. Open Problems in algebraic

Groups [C]// Problems from the Conference on Algebraic Groups and

Representations Held at Katata. Katata: Taniguchi Foundation, 1983.
{3}

SHI J Y. The Kazhdan-Lusztig cells in certain affine Weyl

groups[M]. Lecture Notes in Math 1179. Berlin: Springer, 1986.
{4}

SHI J Y. A two-sided cell in an affine Weyl group, II[J]. J London

Math Soc, 1988, 37(2): 253-264.
{5}

SHI J Y. Left cells containing a fully commutative element[J]. J

Comb Theory Series A, 2005, 113: 556-565.
{6}

SHI J Y. Left-connectedness of some left cells in certain Coxeter

groups of simply-laced type[J]. J Algebra, 2008, 319(6): 2410-2413.
{7}

TONG C Q. Left cells in Weyl group of type $E_6$[J]. Comm in

Algebra, 1995, 23(13): 5031-5047.
{8}

SHI J Y. A new algorithm for finding an l.c.r set in certain

two-sided cells[J]. Pacific J Math, 2012, 256(1): 235--252.
{9}

LUSZTIG G. Cells in affine Weyl group [C]// Algebraic Groups and

Related Topics. Advanced Studies in Pure Math, 1985, 6: 255-287.
{10}

BARBASCH D, VOGAN D. Primitive ideals and orbital integrals in

complex classical groups[J]. Math Ann, 259: 153-199.
{11}

BARBASCH D, VOGAN D. Primitive ideals and orbital integrals in

complex exceptional groups[J]. J Algebra, 1983, 80: 350-382.
{12}

LUSZTIG G. Characters of Reductive Groups over a Finite Field [M].

Ann Math Studies 107, Princeton: Princeton University Press, 1984.
{13}

LUSZTIG G. Cells in affine Weyl group, IV [J]. J Fac Fci Univ Tokyo

Sect IA Math, 1989, 36: 297-328.
{14}

SHI J Y. Left cells in affine Weyl groups[J] T$\ddot{o}$hoku J.

Math, 1994, 46: 105-124.
{15}

CARTER R W. Finite Groups of Lie Type: Conjugacy Classes and Complex

Characters[M]. Wiley Series in Pure and Applied Mathematics. London:

John Wiley, 1985.

施引文献

资源附件(0)

访问统计