Bilinear forms, Clifford algebras, \(q\)-commutation relations, and quantum groups
type: Item
instance of: scholarly article
title: Bilinear forms, Clifford algebras, \(q\)-commutation relations, and quantum groups
zbMATH Open document ID: 0960.16044
published in: Journal of Algebra
publication date: 2001-02-07T00:00:00Z
review text: The author describes constructions which associate algebras to arbitrary bilinear forms, generalizing Clifford algebras and Heisenberg algebras. Quantum groups of symmetries are discussed as deformed enveloping algebras and as quantised function spaces.
Mathematics Subject Classification ID: 16W30
Mathematics Subject Classification ID: 15A66
Mathematics Subject Classification ID: 15A63
Mathematics Subject Classification ID: 81S05
Mathematics Subject Classification ID: 16W35
Mathematics Subject Classification ID: 81R50
Mathematics Subject Classification ID: 17B37
zbMATH DE Number: 1475245
zbMATH Keywords: Clifford algebras
zbMATH Keywords: \(q\)-commutation relations
zbMATH Keywords: quantum groups
zbMATH Keywords: non-commutative geometry
zbMATH Keywords: bilinear forms
zbMATH Keywords: Heisenberg algebras
zbMATH Keywords: deformed enveloping algebras
zbMATH Keywords: quantised function spaces
author: Keith C. Hannabuss
reviewed by: Sorin Dascalescu
MaRDI profile type: Publication
full work available at URL: jabr.1999.8257
OpenAlex ID: W1986985715
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DOI: 10.1006/JABR.1999.8257
description: scientific article; zbMATH DE number 1475245