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arxiv: math/0210460 · v1 · submitted 2002-10-30 · 🧮 math.QA · math.RA

Twistings, crossed coproducts and Hopf-Galois coextensions

classification 🧮 math.QA math.RA
keywords twistingcoextensionscoproductscrossedgaloishopf-galoistwistingsalgebra
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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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