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《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:

2013年04期

Page:

27-

Research Field:

数学

Publishing date:

Info

Title:

Maschke-Type Theorem for Twisted Smash Products of Quasitriangular Hopf Algebras

Author(s):

Guo Shuangjian¹; Dong Lihong²

(1.School of Mathematics and Statistics,Guizhou University of Finance and Economics,Guiyang 550025,China) (2.Department of Mathematics,Southeast University,Nanjing 210096,China)

Keywords:

Maschke-type theorem; twisted smash product; quasitriangular Hopf algebra

PACS:

O153.3

DOI:

-

Abstract:

The paper gives Maschke-type theorem for twisted smash products of quasitriangular Hopf algebras,which extends the semisimplicity of smash products of quantum commutative algebras.

References:

[1] Larson R G,Sweedler M.An associative orthogonal bilinear form for Hopf algebras[J].Amer J Math,1969,91:75-93.
[2]Caenepeel S,Militaru G,Zhu S.A Maschke-type theorem for Doi-Hopf modules and applications[J].J Algebra,1997,187:388-412.
[3]Doi Y.Hopf extensions of algebras and Maschke type thorems[J].Israel J of Math,1990,72:99-108.
[4]Yang S L,Wang Z X.The semisimplicity of smash products of quantum commutative algebras[J].Comm Algebra,1999,27(3):1 165-1 170.
[5]Sweedler M.Hopf Algebras[M].New York:Benjamin,1969.
[6]Wang S H,Li J Q.On twisted smash products for bimodule algebras and the Drinfeld double[J].Comm Algebra,1998,26(8):1 435-1 444.

Memo

Memo:

-

Common functions

Last Update: 2013-12-30