Some non-trivial Kazhdan-Lusztig coefficients of an affine Weyl group of type Ãn

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作者
Leonard Scott
NanHua Xi
机构
[1] University of Virginia,Department of Mathematics
[2] Chinese Academy of Sciences,Hua Loo
来源
Science China Mathematics | 2010年 / 53卷
关键词
Kazhdan-Lusztig coefficient; Kazhdan-Lusztig polynomial; first extension group; 20C08; 20G05;
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摘要
In this paper we show that the leading coefficient µ(y,w) of some Kazhdan-Lusztig polynomials Py,w with y,w in an affine Weyl group of type Ãn is n + 2. This fact has some consequences on the dimension of first extension groups of finite groups of Lie type with irreducible coefficients.
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页码:1919 / 1930
页数:11
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