Reconstruction of weak quasi Hopf algebras
type: Item
instance of: scholarly article
title: Reconstruction of weak quasi Hopf algebras
zbMATH Open document ID: 0882.18009
author: Reinhard Häring-Oldenburg
published in: Journal of Algebra
publication date: 1998-03-02T00:00:00Z
review text: This paper provides a structure theorem of abelian tortile tensor categories in which there are only finitely many non-isomorphic indecomposable objects and every object is a direct sum of some of them. Each such category is equivalent to the category of representations of some weak quasi Hopf algebra. This result is one variant of Tannaka duality; for background see \textit{A. Joyal} and \textit{R. Street} [``An introduction to Tannaka duality and quantum groups'' in: Category theory, Proc., Como 1990, Lect. Notes Math. 1488, 413-492 (1991; Zbl 0745.57001)].
Mathematics Subject Classification ID: 18D35
Mathematics Subject Classification ID: 16W30
zbMATH DE Number: 1053874
zbMATH Keywords: ribbon category
zbMATH Keywords: monoidal category
zbMATH Keywords: abelian tortile tensor categories
zbMATH Keywords: weak quasi Hopf algebra
zbMATH Keywords: Tannaka duality
reviewed by: Ross H. Street
MaRDI profile type: Publication
full work available at URL: jabr.1996.7006
OpenAlex ID: W2047478992
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DOI: 10.1006/JABR.1996.7006
description: scientific article; zbMATH DE number 1053874