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Maschke-type theorem and Morita context over weak Hopf algebras 被引量：6

Maschke-type theorem and Morita context over weak Hopf algebras
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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. 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.
作者 ZHANG Liangyun College of Science, Nanjing Agricultural University, Nanjing 210095, China Department of Mathematics, Nanjing University, Nanjing 210008, China
出处 《Science China Mathematics》 SCIE 2006年第5期587-598,共12页 中国科学：数学（英文版）
基金 supported by the National Natural Science Foundation of China(Grant No.10571153) the Postdoctoral Science Foundation of China(Grant No.2005037713) the Postdoctoral Science Foundation of Jiangsu(Grant No.0203003403).
关键词 WEAK HOPF algebra SMASH product Maschke-type theorem MORITA context. weak Hopf algebra, smash product, Maschke-type theorem, Morita context.
分类号 O15 [理学—基础数学]
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参考文献14

  • 1[1]B(o)hm,G.Nill,F.,Szlachányi,K.,Weak Hopf algebras I,integral theory and C*-structure,J.Algebra,1999,221:385-438.
  • 2[2]Hayashi,T.,Quantum group symmetry of partition functions of IRF models and its applications to Jones's index theory,Comm.Math.Phys.,1993,157:331-345.
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  • 5[5]Nikshych,D.,A duality theorem for quantum groupoids,Contemp.Math.,2000,267:237-243.
  • 6[6]Zhang,L.Y.,Zhu,S.L.,Fundamental theorems of weak Doi-Hopf modules and semisimple weak smash product Hopf algebras,Comm.Algebra,2004,32(9):3403-3415.
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  • 9[9]Montgomery,S.,Hopf algebras and their actions on rings,Lect.Notes,CBMS,1993.
  • 10[10]Zhang,L.Y.,Chen,H.X.,Li,J.Q.,Twisted products and smash products over weak Hopf algebras,Acta Math.Scientia (Series B),2004,24(2):247-258.

同被引文献11

  • 1ZHANG Liangyun.L-R smash products for bimodule algebras[J].Progress in Natural Science:Materials International,2006,16(6):580-587. 被引量：20
  • 2Doi Y. On the structure of relative Hopf modules[J]. Comm. Algebra, 1983, 11(3): 243-255.
  • 3Bohm G, Nill F, Szlachanyi K. Weak Hopf algebras I. Integral theory and C^*-structure[J]. J. Algebra, 1999, 221: 385-438.
  • 4Montgomery S. Hopf algebras and their actions on rings[M]. Cbms Regional Conference Series in Mathematics, Providence, RI: AMS, 1993.
  • 5Wang Shuanhong. Cibils-Rosso's theorem for quantum groupoids[J]. Comm. Algebra, 2004, 32(9): 3703-3723.
  • 6Caenepeel S, Groot E D. Modules over weak entwining structures[J]. Cont. Math., 2000, 267:31-54.
  • 7Zhang Liangyun, Chen huixiang, Li jinqi. Twisted products and smash products over weak Hopf algebras[J]. Acta Math. Sci., 2004, 24B(2): 247-258.
  • 8Zhang Liangyun, Tong Wenting. Quantum Yang-Baxter H-module algebras and their braided products[J]. Comm. Algebra, 2003, 31(5): 2471-2495.
  • 9ZHAO Li-hui,LU Di-ming,FANG Xiao-li.L-R smash products for multiplier Hopf algebras[J].Applied Mathematics(A Journal of Chinese Universities),2008,23(1):83-90. 被引量：2
  • 10J.N.ALONSOLVAREZ,J.M.FERNNDEZVILABOA,R.GONZLEZRODRíGUEZ,A.B.RODRíGUEZRAPOSO.A Maschke Type Theorem for Weak Hopf Algebras[J].Acta Mathematica Sinica,English Series,2008,24(12):2065-2080. 被引量：4

引证文献6

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Science China Mathematics
2006年 第5期

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