Maschke-type theorem and Morita context over weak Hopf algebras

被引：0
作者：
Liangyun Zhang
机构：
[1] Nanjing Agricultural University,College of Science
[2] Nanjing University,Department of Mathematics
来源：
Science in China Series A | 2006年 / 49卷
关键词：
weak Hopf algebra; smash product; Maschke-type theorem; Morita context;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper gives a Maschke-type theorem over semisimple weak Hopf algebras, extends the well-known Maschke-type theorem given by Cohen and Fishman and constructs a Morita context over weak Hopf algebras.
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页码：587 / 598
页数：11
相关论文
共 21 条
  • [1] Böhm G.(1999)Weak Hopf algebras I, integral theory and J. Algebra 221 385-438
  • [2] Nill F.(1993)-structure Comm.Math.Phys. 157 331-345
  • [3] Szlachányi K.(2002)Quantum group symmetry of partition functions of IRF models and its applications to Jones’s index theory Math. Sci. Res. Inst. Publ. 43 211-262
  • [4] Hayashi T.(1994)Finite quantum groupoid and their applications J. Algebra 163 9-50
  • [5] Nikshych D.(2000)Duality for generalized Kac algebras and a characterization of finite groupoid algebras Contemp. Math. 267 237-243
  • [6] Vainerman L.(2004)A duality theorem for quantum groupoids Comm. Algebra 32 3403-3415
  • [7] Yamanouchi T.(1983)Fundamental theorems of weak Doi-Hopf modules and semisimple weak smash product Hopf algebras Comm. Algebra 11 243-255
  • [8] Nikshych D.(1986)On the structure of relative Hopf modules J. Algebra 100 363-379
  • [9] Zhang L. Y.(2004)Hopf algebra actions Acta Math. Scientia (Series B) 24 247-258
  • [10] Zhu S. L.(2000)Twisted products and smash products over weak Hopf algebras Comm. Algebra 28 4687-4698
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