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B_n型仿射Weyl群a值5的D_2×A_1^3型双边胞腔 被引量:3

The affine Weyl group of type B_n
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摘要 描述了 Bn型仿射 Weyl群 W的 a值为 5的一类特殊双边胞腔中左胞腔的个数 ,并计算出当 n≥ 7时 ,这样的双边胞腔只有 1个 ,记为Ω,且Ω含有 12 4n(n-1 ) (n-2 ) (n-3 )个左胞腔 .所使用的方法是同 Chen,C.D.的一样找出这类双边胞腔中所有特异对合元 . The number of the left cells in the two sided cell Ω of type D 2×A 3 1 with a value 5 in the affine Weyl group of type B n is counted.By using the methods of and ,all distinguished involutions in the two sided cell Ω are found.When n≥7,the two sided cell Ω contains 124n(n-1)(n-2)(n-3) left cells.
出处 《信阳师范学院学报(自然科学版)》 CAS 2003年第1期20-22,33,共4页 Journal of Xinyang Normal University(Natural Science Edition)
关键词 ~↑Bn型仿射Weyl群 双边胞腔 左胞腔 HECKE代数 特异对合元 等价类 affine weyl group two sided cell left cell Hecke algebra
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参考文献1

  • 1David Kazhdan,George Lusztig. Representations of Coxeter groups and Hecke algebras[J] 1979,Inventiones Mathematicae(2):165~184 被引量:1

同被引文献16

  • 1刘家春,邹业文.D_n型Hecke代数的某些Kazhdan-Lusztig基元素的精确表达式[J].信阳师范学院学报(自然科学版),2005,18(1):32-34. 被引量:1
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  • 6C D CHEN,J Ch LIU.Kazhdan-Lusztig Basis Elements in the Hecke Algebra of Type Bn and Dn [J].Algebra Colloquium,2004,11(3) :345-360.(SCI) 被引量:1
  • 7CHEN C D. Left cell with a-value 4 in the affine Weyl group of type -n[J]. Comm in Algebra, 1995,23(7): 2499-2515. 被引量:1
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  • 9SHI J Y. The joint relations and the set D1 in certain crystallographic groups[J]. Adv Math, 1990,81: 66-89. 被引量:1
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