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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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2000 Mathematics Subject Classification:
ACKNOWLEDGMENTS
The authors thank the referee for his/her careful reading of this article and helpful comments. The first author would like to thank Prof. Marc Rosso for his useful suggestions and corrections when revising the manuscript, and for his impressive lectures on quantum groups given at Sun Yat-Sen University.
This work is supported in part by the Foundation of Sun Yat-Sen University Advanced Research Centre.
Notes
Communicated by M. Cohen.