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A New Descent Algebra for Weyl Groups of Type An

A New Descent Algebra for Weyl Groups of Type An
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摘要 In this paper we define an equivalence relation on the set of all xj in order to form a basis for a new descent algebra of Weyl groups of type A,. By means of this, we construct a new commutative and semi-simple descent algebra for Weyl groups of type An generated by equivalence classes arising from this equivalence relation.
出处 《Journal of Mathematics and System Science》 2016年第6期242-247,共6页 数学和系统科学(英文版)
关键词 Weyl groups type An descent algebra. Weyl群 代数基础 类型 后裔 等价关系 半单代数 等价类
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参考文献7

  • 1R. W. Carter, Simple Groups of Lie Type, John Wiley and Sons, London, 1989. 被引量:1
  • 2L. Solomon, A Mackey Formula in the Group Ring of a Coxeter Group, Joumal of Algebra 41, (1976), 225-264. 被引量:1
  • 3F. Bergeron, N. Bergeron, R. B. Howler and D. E. Taylor, A Decomposition of the Descent Algebra of a Finite Coxeter Group, Journal of Algebraic Combinatorics 1 (1), (1992), 23-44. 被引量:1
  • 4M. D. Atkinson, G. Pfeiffer, S. J. Van Willigenburg, The p-Modular Descent Algebras, Algebras and Representation Theory 5, (2002), 101-113. 被引量:1
  • 5M. D. Atkinson, Solomon's Descent Algebra Revisited, Bull. London Math. Soc. 24, (1992), 545-551. 被引量:1
  • 6C. Bonnafe, G. Pfeiffer, Around Solomon's Descent Algebras, Algebr. Represent. Theory 11, (2008), 577-602. 被引量:1
  • 7A. M. Garsia, C. Reutenauer, A Decomposition of Solomon's Descent Algebras, Adv. in Math. 77(2), (1989), 189-262. 被引量:1

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