| (A)3型仿射Weyl群最低双边胞腔上的Kazhdan-Lusztig系数 |
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| 引用本文： | 魏玉丽,王利萍,罗新,代佳华. (A)3型仿射Weyl群最低双边胞腔上的Kazhdan-Lusztig系数[J]. 数学的实践与认识, 2021, 0(3): 290-301 |
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| 作者姓名： | 魏玉丽 王利萍 罗新 代佳华 |
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| 作者单位： | 北京建筑大学理学院 |
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| 基金项目： | 北京市教育委员会科技发展计划项目面上项目卡茨当罗斯蒂克多项式的首项系数及其应用(KM201710016011);北京市组织部“高创计划”青年拔尖人才培养计划(21351918007)。 |
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| 摘 要： | 对于Kazhdan-Lusztig多项式Py,w(q),μ(y,w)为它的首项系数(简称KL系数).首项系数在李代数及其表示理论中起着重要的作用.在文章中,W为?3型仿射Weyl群,通过它对应的Hecke代数的性质及其KL基{Cw}的乘积计算,以及不可约模在张量积中的重数公式,给出了?3型仿射Weyl群最低双边胞腔上的...
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| 关 键 词： | 仿射Weyl群 首项系数 最低双边胞腔 |
The Kazhdan-Lusztig Coefficients in the Lowest Two-sided Cells for an Affine Weyl Group of TypeA3 |
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| WEI Yu-li,WANG Li-ping,LUO Xin,DAI Jia-hua. The Kazhdan-Lusztig Coefficients in the Lowest Two-sided Cells for an Affine Weyl Group of TypeA3[J]. Mathematics in Practice and Theory, 2021, 0(3): 290-301 |
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| Authors: | WEI Yu-li WANG Li-ping LUO Xin DAI Jia-hua |
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| Affiliation: | (School of Science,Beijing University of Civil Engineering and Architecture,Beijing 100044,China) |
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| Abstract: | For kazhdan-Lusztig polynomials Py,w(q),the leading coefficients μ(y,w)play an important role in Lie algebra and representation theory.We get the leading coefficients of kazhdan-Lusztig polynomials in the lowest two-sided cells for the affine Weyl group of type A3 by the properties of Heck algebra and calculating the product of kazhdan-Lusztig basis,and the multiplicity formula of irreducible module in tensor product. |
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| Keywords: | affine Weyl group leading coefficient lowest two-sided cells |
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