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On twisted smash products for bimodule algebras and the drinfeld double 1
Authors:Shuan-Hong Wang  Jin-Qi Li
Institution:1. Institute of Mathematics , Fudan University , Shanghai, 200433, PR of China;2. Department of Mathematics , Zhejiang Normal University , Zhejiang, Jinhua, 321004, PR of China
Abstract:In this paper we construct a new algebra AHof an H- bimodule algebra Aby a Hopf algebra Hand study some of its properties. The smash product, the Drinfel'd double D(H) and the Doi-Takeuchi's algebra B?,H, are all special cases of AH. Moreover,we find a necessary and sufficient condition for A Hto be a Hopf algebra and also consider the dual situation
Keywords:
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