| 仿射Weyl群(E～)6的a值5的左胞腔 |
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| 引用本文： | 张晓霞,张细苟.仿射Weyl群(E～)6的a值5的左胞腔[J].上饶师范学院学报,2005,25(6):5-9. |
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| 作者姓名： | 张晓霞 张细苟 |
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| 作者单位： | 上饶师范学院,江西,上饶,334001 |
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| 摘 要： | Coxeter群的胞腔是1979年Kazhdan和Lusztig中定义的，这些胞腔理论在代数群的表示理论中发挥了重要的作用。对一些特殊的情况，胞腔的分类已经明确地给出了，例如，对于秩为2的群参见，对于An^-参见，对于a值4的典范型和或参见.本文利用时俭益的运算算法给出了仿射Weyl群E6^-的a值等于5的所有左胞腔。
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| 关 键 词： | 双边胞腔 左（右）胞腔 a函数 |
| 文章编号： | 1004-2237（2005）06-0005-05 |
| 收稿时间： | 2005-08-16 |
| 修稿时间： | 2005年8月16日 |
Left Cells with a-Value 5 in the Affine Weyl Group (E～)6 |
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| ZHANG Xiao-xia,ZHANG Xi-gou.Left Cells with a-Value 5 in the Affine Weyl Group (E～)6[J].Journal of Shangrao Normal College,2005,25(6):5-9. |
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| Authors: | ZHANG Xiao-xia ZHANG Xi-gou |
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| Institution: | Shangrao Normal College, Shangrao Jiangxi,334001,China |
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| Abstract: | The cells of a Coxeter group were defined by Kazhdan and Lusztig in 7] in 1979,the theory of cells play an important role in representation theory of algebraic group.For some special cases, the cells have been described explicitly,such as,for W of rank 2,see 10];for W of type A～n;see 8], for a-value 4 of the classical types and the affine group F～4,see3],4],5],8].In the present paper, we aim to describe the left cells in the affine Weyl group of the exceptional types of (E～)6 by using Shi's algorithm. |
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| Keywords: | Two-sided cell left(right) cell a-function alcove form |
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