On quasi-bicrossed products of weak Hopf algebras.
type: Item
instance of: scholarly article
title: On quasi-bicrossed products of weak Hopf algebras.
zbMATH Open document ID: 1076.16035
author: Fang Li
publication date: 2004-11-25T00:00:00Z
review text: Bicrossed products are fundamental tools for constructing the quantum double of a Hopf algebra. The author studies quasi-bicrossed products which play a similar part for the quantum quasi-double of certain weak Hopf algebras. Conditions for quasi-bicrossed products to possess the structure of almost weak Hopf algebras are discussed, with the special case of a smash product. Some properties of the quantum quasi-double and of the quasi \(R\)-isomorphism are also given as well as a representation theoretic interpretation.
reviewed by: Constantin Năstăsescu
Mathematics Subject Classification ID: 16W30
Mathematics Subject Classification ID: 16W35
Mathematics Subject Classification ID: 18D10
Mathematics Subject Classification ID: 81R50
zbMATH DE Number: 2119048
zbMATH Keywords: braided monoidal categories
zbMATH Keywords: weak Hopf algebras
zbMATH Keywords: crossed products
zbMATH Keywords: bosonization
MaRDI profile type: Publication
full work available at URL: s10114-004-0325-3
OpenAlex ID: W2334485185
cites work: Q4317887
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cites work: Q3933122
cites work: Left Hopf algebras
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cites work: Minimal quasitriangular Hopf algebras
DOI: 10.1007/S10114-004-0325-3
published in: Acta Mathematica Sinica, English Series
description: scientific article; zbMATH DE number 2119048