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Twistings, crossed coproducts and Hopf-Galois coextensions

S. Caenepeel, Dingguo Wang, Yanxin Wang

math.QAarXiv:math/0210460

Abstract

Let H be a Hopf algebra. Ju and Cai introduced the notion of twisting of an H-module coalgebra. In this note, 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.

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