A short introduction to quantum symmetry
type: Item
instance of: scholarly article
title: A short introduction to quantum symmetry
zbMATH Open document ID: 0791.17018
DOI: 10.1016/0393-0440(93)90064-L
author: G. Mack
author: Volker Schomerus
published in: Journal of Geometry and Physics
publication date: 1994-07-21T00:00:00Z
review text: The authors show how the general quantum symmetries acting on the Hilbert space of physical states in quantum field theory lead to the mathematical structure of ``bi-\(^*\)-algebras''. This new kind of symmetry generalizes the standard notion of a symmetry group and can be found in studying low dimensional quantum field theories.
reviewed by: Robert Alicki
Mathematics Subject Classification ID: 17B37
Mathematics Subject Classification ID: 16W30
Mathematics Subject Classification ID: 81R50
zbMATH DE Number: 436582
zbMATH Keywords: quantum groups
zbMATH Keywords: bi-\(*\)-algebras
zbMATH Keywords: quantum symmetries
zbMATH Keywords: low dimensional quantum field theories
MaRDI profile type: Publication
cites work: Quasi Hopf algebras, group cohomology and orbifold models
cites work: Q5749433
cites work: Action of truncated quantum groups on quasi-quantum planes and a quasi-associative differential geometry and calculus
cites work: Quasi-quantum groups, knots, three-manifolds, and topological field theory
full work available at URL: 0393-0440(93)90064-l
OpenAlex ID: W2087046567
description: scientific article; zbMATH DE number 436582