Compact quantum groups of face type
type: Item
instance of: scholarly article
title: Compact quantum groups of face type
zbMATH Open document ID: 0860.16025
author: Takahiro Hayashi
published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University
publication date: 1997-04-20T00:00:00Z
review text: A generalization of compact matrix pseudo groups -- quantum groups -- on the algebraic level is given. Face algebras are compounds of a finite set and a Hopf algebra, including thereby all Hopf algebras as a special case. Coalgebras and \(*\)-structures are introduced. Compact Hopf face algebras as finite dimensional such algebras related to graphs are studied. The framework covers algebras of \(L\)-operators of lattice models of face type without spectral parameter and ``Galois quantum groups'' of AFD \(\text{II}_1\)-subfactors of index \(<4\).
Mathematics Subject Classification ID: 16W30
Mathematics Subject Classification ID: 81R50
Mathematics Subject Classification ID: 17B37
Mathematics Subject Classification ID: 58H05
Mathematics Subject Classification ID: 82B23
zbMATH DE Number: 927851
zbMATH Keywords: Galois quantum groups
zbMATH Keywords: compact matrix pseudo groups
zbMATH Keywords: Hopf algebras
zbMATH Keywords: Hopf face algebras
zbMATH Keywords: algebras of operators
zbMATH Keywords: lattice models
reviewed by: Bertfried Fauser
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2977/prims/1195162967
OpenAlex ID: W2013587245
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DOI: 10.2977/PRIMS/1195162967
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description: scientific article; zbMATH DE number 927851