On weak crossed products of weak Hopf algebras. (Q1956370)
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scientific article; zbMATH DE number 6175499
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On weak crossed products of weak Hopf algebras. |
scientific article; zbMATH DE number 6175499 |
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On weak crossed products of weak Hopf algebras. (English)
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13 June 2013
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This paper extends to weak Hopf algebras [see \textit{G. Böhm} and \textit{K. Szlachányi}, Lett. Math. Phys. 38, No. 4, 437-456 (1996; Zbl 0872.16022)] the notion of cross product (with a given cocycle \(\sigma\)) of a Hopf algebra \(H\) with an algebra \(A\) which measures \(H\). Then it explores some properties of this weak cross product \(H\#_\sigma A\): conditions to be a weak algebra, for \(A\subset H\#_\sigma A\) to be a separable extension, finitistic dimension.
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weak Hopf algebras
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weak crossed products
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spectral sequences
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separable extensions
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finitistic dimension
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