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Twistings, crossed coproducts, and Hopf-Galois coextensions

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  • S. Caenepeel
  • Dingguo Wang
  • Yanxin Wang

Abstract

Let H be a Hopf algebra. Ju and Cai (2000) introduced the notion of twisting of an H -module coalgebra. In this paper, we study the relationship between twistings, crossed coproducts, and Hopf-Galois coextensions. In particular, we show that a twisting of an H -Galois coextension remains H -Galois if the twisting is invertible.

Suggested Citation

  • S. Caenepeel & Dingguo Wang & Yanxin Wang, 2003. "Twistings, crossed coproducts, and Hopf-Galois coextensions," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2003, pages 1-21, January.
    • Handle: RePEc:hin:jijmms:214195
    DOI: 10.1155/S0161171203212400
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