Twistings, crossed coproducts, and Hopf-Galois coextensions. (Q1774357)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Twistings, crossed coproducts, and Hopf-Galois coextensions. |
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Twistings, crossed coproducts, and Hopf-Galois coextensions. (English)
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9 May 2005
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Summary: Let \(H\) be a Hopf algebra. \textit{T.-X. Ju} and \textit{C.-R. Cai} [Commun. Algebra 28, No. 1, 307-320 (2000; Zbl 0948.16025)] 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.
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Hopf algebras
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crossed products
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cleft extensions
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module coalgebras
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Harrison 2-cocycles
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crossed coproducts
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cleft coextensions
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twistings
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Hopf-Galois coextensions
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invertible twist maps
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