On weak crossed products of weak Hopf algebras.
type: Item
instance of: scholarly article
title: On weak crossed products of weak Hopf algebras.
zbMATH Open document ID: 1277.16024
author: Ling Liu
author: Bing-Liang Shen
author: Shuanhong Wang
published in: Algebras and Representation Theory
publication date: 2013-06-13T00:00:00Z
review text: 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.
reviewed by: Marc Aubry
Mathematics Subject Classification ID: 16T05
Mathematics Subject Classification ID: 16S40
Mathematics Subject Classification ID: 16E10
zbMATH DE Number: 6175499
zbMATH Keywords: weak Hopf algebras
zbMATH Keywords: weak crossed products
zbMATH Keywords: spectral sequences
zbMATH Keywords: separable extensions
zbMATH Keywords: finitistic dimension
MaRDI profile type: Publication
full work available at URL: s10468-011-9323-1
OpenAlex ID: W2038598420
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DOI: 10.1007/S10468-011-9323-1
description: scientific article; zbMATH DE number 6175499