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加权Coxeter群(B3, l)的胞腔

米倩倩 时俭益

米倩倩, 时俭益. 加权Coxeter群(B3, l)的胞腔[J]. 华东师范大学学报(自然科学版), 2015, (1): 27-41. doi: 10.3969/j.issn.1000-5641.2015.01.004
引用本文: 米倩倩, 时俭益. 加权Coxeter群(B3, l)的胞腔[J]. 华东师范大学学报(自然科学版), 2015, (1): 27-41. doi: 10.3969/j.issn.1000-5641.2015.01.004
MI Qian-Qian, SHI Jian-Yi. Cells of the weighted Coxeter group (B3, ?)[J]. Journal of East China Normal University (Natural Sciences), 2015, (1): 27-41. doi: 10.3969/j.issn.1000-5641.2015.01.004
Citation: MI Qian-Qian, SHI Jian-Yi. Cells of the weighted Coxeter group (B3, ?)[J]. Journal of East China Normal University (Natural Sciences), 2015, (1): 27-41. doi: 10.3969/j.issn.1000-5641.2015.01.004

加权Coxeter群(B3, l)的胞腔

doi: 10.3969/j.issn.1000-5641.2015.01.004
基金项目: 

国家自然科学基金(11071073, 11131001); 教育部高校博士点基金(1439864); 上海市科委基金(11XD1402200)

详细信息
    作者简介:

    第二作者:时俭益, 男, 教授. 研究方向为代数群、代数组合论.E-mail: jyshi@math.ecnu.edu.cn.

    通讯作者:

    米倩倩,女, 讲师. 研究方向为代数群.

  • 中图分类号: O

Cells of the weighted Coxeter group (B3, ?)

  • 摘要: 仿射Coxeter群(B3,S)可以被看做仿射Coxeter群(D4,S)在满足条件( S) = S的某种群自同构下的不动点集合,设l是D4的长度函数。本文明显地刻画了加权Coxeter群(B3,l)的所有左胞腔,同时证明了:加权Coxeter群(D4,L)和(B3,L)的所有左胞腔都是左连通的,所有双边胞腔都是双边连通的。
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出版历程
  • 收稿日期:  2013-12-01
  • 刊出日期:  2015-01-25

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