A*H over Weak Hopf Algebras

Yan Yan,Xinghua Ma,Liping Du,Yankun Li,Dongmei Li

doi:10.1007/978-3-642-27452-7_1

A*H over Weak Hopf Algebras

Yan Yan, Xinghua Ma + Show 3 more

https://doi.org/10.1007/978-3-642-27452-7_1

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Publication Date: Jan 1, 2011

Affiliation: Hebei University, North China University of Science and Technology, Tangshan College

#Weak Hopf Algebra #Twisted Smash Product + Show 8 more

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Abstract

The notion of a Hopf algebra was developed by algebraic topologists abstracting the work of H.Hopf on manifolds in 1941.In this paper, we mainly study a right twisted smash product A*H over weak Hopf algebras and investigate their properties.The concet of a right twisted smash product algebras over weak Hopf akgebras is constructed. Let H be a weak Hopf algebra and A an H-module algebra,we give a sufficient and necessary condition for a right twisted smash product A*H to be a weak bialgebra . Simultaneously,we also give a sufficient condition for A*H to be a weak Hopf algebra.

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