Finiteness conditions, co-Frobenius Hopf algebras, and quantum groups
type: Item
instance of: scholarly article
title: Finiteness conditions, co-Frobenius Hopf algebras, and quantum groups
zbMATH Open document ID: 0902.16028
published in: Journal of Algebra
publication date: 1998-10-13T00:00:00Z
review text: For some classes of infinite-dimensional coalgebras (right or left semiperfect coalgebras, co-Frobenius Hopf algebras), some finiteness conditions are studied, e.g. the order of the antipode, finite-dimensionality, uniqueness of integrals. Examples of co-Frobenius Hopf algebras are constructed using Ore extensions.
Mathematics Subject Classification ID: 16W30
Mathematics Subject Classification ID: 17B37
zbMATH DE Number: 1139780
zbMATH Keywords: infinite-dimensional coalgebras
zbMATH Keywords: left semiperfect coalgebras
zbMATH Keywords: co-Frobenius Hopf algebras
zbMATH Keywords: finiteness conditions
zbMATH Keywords: orders of antipodes
zbMATH Keywords: uniqueness of integrals
zbMATH Keywords: Ore extensions
author: Margaret Beattie
author: Sorin Dascalescu
author: L. Grunenfelder
author: Constantin Năstăsescu
reviewed by: Serban Raianu
MaRDI profile type: Publication
full work available at URL: jabr.1997.7238
OpenAlex ID: W2081008770
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DOI: 10.1006/JABR.1997.7238
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description: scientific article; zbMATH DE number 1139780