E6型Weyl群中左胞腔的左连通性

华东师范大学学报(自然科学版) ›› 2013, Vol. 2013 ›› Issue (1): 76-90.

E₆型Weyl群中左胞腔的左连通性

米倩倩, 时俭益

华东师范大学~~数学系, 上海 200241

收稿日期:2012-02-01 修回日期:2012-05-01 出版日期:2013-01-25 发布日期:2013-01-18

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

MI Qian-qian, SHI Jian-yi

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

Received:2012-02-01 Revised:2012-05-01 Online:2013-01-25 Published:2013-01-18

摘要/Abstract

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.

关键词: 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.

Key words: Weyl group, left cells, two-sided cells, left-connectedness

中图分类号:

O152

米倩倩, 时俭益. E₆型Weyl群中左胞腔的左连通性[J]. 华东师范大学学报(自然科学版), 2013, 2013(1): 76-90.

MI Qian-qian, SHI Jian-yi. Left-connectedness of left cells in the Weyl Group of type E₆[J]. Journal of East China Normal University(Natural Sc, 2013, 2013(1): 76-90.

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E₆型Weyl群中左胞腔的左连通性

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

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