Crossed products for weak Hopf algebras with coalgebra splitting.
type: Item
instance of: scholarly article
title: Crossed products for weak Hopf algebras with coalgebra splitting.
zbMATH Open document ID: 1073.16027
author: J. N. Alonso Alvarez
author: Ramón González Rodríguez
published in: Journal of Algebra
publication date: 2004-11-26T00:00:00Z
review text: The main result of this paper is a generalization of the Blattner-Cohen-Montgomery Theorem [\textit{R. J. Blattner, M. Cohen} and \textit{S. Montgomery}, Trans. Am. Math. Soc. 298, 671-711 (1986; Zbl 0619.16004)] to weak Hopf algebras. A dual result can be shown in a similar way, and this leads to a generalization of \textit{D. E. Radford}'s Theorem [J. Algebra 92, 322-347 (1985; Zbl 0549.16003)] to weak Hopf algebras. The authors prove their results in arbitrary symmetric monoidal categories with split idempotents.
Mathematics Subject Classification ID: 16T05
Mathematics Subject Classification ID: 18D10
zbMATH DE Number: 2119120
zbMATH Keywords: weak Hopf algebras
zbMATH Keywords: crossed products
reviewed by: Stefaan Caenepeel
MaRDI profile type: Publication
full work available at URL: j.jalgebra.2004.08.001
OpenAlex ID: W1966563346
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DOI: 10.1016/J.JALGEBRA.2004.08.001
description: scientific article; zbMATH DE number 2119120