Twistings, crossed coproducts, and Hopf-Galois coextensions

S. Caenepeel, Dingguo Wang and Yanxin Wang

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-21

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.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:214195

DOI: 10.1155/S0161171203212400

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