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有限群上单Yetter-Drinfeld模的结构 被引量：1

The structures of Yetter-Drinfeld simple modules over finite groups
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摘要 给定一个有限群G,对群代数kG上的Yetter-Drinfeld单模的结构和分类进行探讨.通过群G的共轭类代表元的中心化子子群上的模构造Yetter-Drinfeld kG-模,并由此给出全部单Yetter-Drinfeld kG-模的结构和同构分类. Given a finite group G, the structures and classification of Yetter-Drinfeld simple modules over kG are investigated in this paper. It constructs Yetter-Drinfeld kG-modules from modules over the centralizer subgroups of representatives of congrugent classes of G. Then describes the structures of simple Yetter-Drinfeld kG-modules and classifies them up to isomorphism.
作者 蒋滟君 陈惠香
机构地区 扬州大学数学科学学院 宿迁经贸高等职业技术学校
出处 《扬州大学学报（自然科学版）》 CAS CSCD 2008年第3期6-8,22,共4页 Journal of Yangzhou University：Natural Science Edition
基金 国家自然科学基金资助项目(10771183)
关键词 有限群 单模 同构 finite group simple module isomorphism
分类号 O153.3 [理学—基础数学]
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参考文献10

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同被引文献9

  • 1张云,王志华.量子群正部分的二维表示[J].扬州大学学报（自然科学版）,2006,9(3):13-15. 被引量：3
  • 2DRINFELD V G. Quantum groups[C]//Proc Int Cong Math. Providence, RI: Amer Math Soe, 1987; 798- 820.
  • 3CHEN Hui-xiang. Irreducible representations of a class of quantum doubles[J].J Algebra, 2000, 225: 391-409.
  • 4CHEN Hui-xiang. Finite dimensional representations of a quantum double [J]. J Algebra, 2002, 251: 751-789.
  • 5WITHERSPOON S J. The representation ring of quantum double of a finite group[J].J Algebra, 1996, 17: 305-329.
  • 6MAJID S. Doubles of quasitriangutar Hopf algebras [J]. Comm Algebra, 1991, 19:3061-3073.
  • 7KASSEL C. Quantum groups [M]. New York: Springer-Verlag, 1995: 220-223.
  • 8HIGMAN D. Indecomposable modules at characteristic p[J]. Duke Math J, 1954, 21: 377-381.
  • 9JANUSZ G J. Indecomposable modules of groups with a cyclic Sylow subgroup [J]. Trans Amer Math Soc, 1966, 125(2):288-295.

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扬州大学学报（自然科学版）
2008年 第3期

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