Twisted Comodule Algebras and the Generalized Quantum Double |
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| Authors: | Hu Guo Quan Xu Yong Hua |
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| Institution: | 1. Department of Mathematics , Sun Yat-Sen University , Guangzhou, China mcshgq@mail.sysu.edu.cn;3. Institute of Mathematics, Fudan University , Shanghai, China |
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| Abstract: | In this article we show that the notion of twisted comodule algebras is a generalization of Drinfeld's cocycle twisting construction of bialgebras or Hopf algebras, and that several other twisting constructions, such as Ferrer's twisting product and Lu's one-sided twisting, are also special examples of twisted comodule algebras. Some general properties on twisted comodule algebras are investigated, and applications to the generalized quantum double are given. |
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| Keywords: | Hopf algebras Quantum double Twisting |
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