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Some non-trivial Kazhdan-Lusztig coefficients of an affine Weyl group of type _n 被引量：5

Some non-trivial Kazhdan-Lusztig coefficients of an affine Weyl group of type _n
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摘要 In this paper we show that the leading coeficient μ(y,w) of some Kazhdan-Lusztig polynomials Py,w with y,w in an affine Weyl group of type n is n + 2.This fact has some consequences on the dimension of first extension groups of finite groups of Lie type with irreducible coefficients. In this paper we show that the leading coeficient μ(y,w) of some Kazhdan-Lusztig polynomials Py,w with y,w in an affine Weyl group of type n is n + 2.This fact has some consequences on the dimension of first extension groups of finite groups of Lie type with irreducible coefficients.
作者 SCOTT Leonard
机构地区 Department of Mathematics
出处 《Science China Mathematics》 SCIE 2010年第8期1919-1930,共12页 中国科学：数学（英文版）
基金 supported by National Natural Science Foundation of China (Grant No.10671193)
关键词 Kazhdan-Lusztig coeficient Kazhdan-Lusztig POLYNOMIAL first EXTENSION GROUP Kazhdan-Lusztig coeficient Kazhdan-Lusztig polynomial first extension group
分类号 O152.1 [理学—基础数学]
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参考文献26

  • 1Henning Haahr Andersen,Jens Carsten Jantzen.Cohomology of induced representations for algebraic groups[J]. Mathematische Annalen . 1984 (4)
  • 2David Kazhdan,George Lusztig.Representations of Coxeter groups and Hecke algebras[J]. Inventiones Mathematicae . 1979 (2)
  • 3N. Iwahori,H. Matsumoto.On some bruhat decomposition and the structure of the hecke rings of p-Adic chevalley groups[J]. Publications Mathématiques de L’Institut des Hautes Scientifiques . 1965 (1)
  • 4Andersen H H,,Jantzen J C,Soergel W.Representations of quantum groups at a p-th root of unity and of semisimple groups in characteristic p: independence of p. Asterisque . 1994
  • 5Cline E,Parshall B,Scott L.Detecting rational cohomology of algebraic groups. Journal of the London Mathematical Society . 1983
  • 6Cline E,Parshall B,Scott L.Reduced standard modules and cohomology. Transactions of the American Mathematical Society . 2009
  • 7Jantzen J C.Representations of Algebraic Groups. Mathematical Surveys and Monographs . 2003
  • 8Lusztig G.Cells in affine Weyl groups. Algebraic groups and related topics,Advanced Studies in Pure Math . 1985
  • 9Scott L.Some new examples in 1-cohomology. Special Issue celebrating the 80th birthday of Robert Steinberg. Journal of Algebra . 2003
  • 10Springer T A.Letter to G. Lusztig. . 1987

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Science China Mathematics
2010年 第8期

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