Quantum deformations of \(D=4\) Poincaré and Weyl algebra from \(q\)- deformed \(D=4\) conformal algebra
type: Item
instance of: scholarly article
title: Quantum deformations of \(D=4\) Poincaré and Weyl algebra from \(q\)- deformed \(D=4\) conformal algebra
zbMATH Open document ID: 0834.17021
DOI: 10.1016/0370-2693(92)90396-L
publication date: 1996-03-13T00:00:00Z
review text: The authors construct a \(q\)-deformation of the relativistic algebras as subalgebras and contractions of the real forms of the \(q\)-deformed \(\text{SL} (4, \mathbb{C})\), \(q\)-deformation of \(\text{SL} (4, \mathbb{C})\), performed in the standard way from a Cartan-Chevalley basis using Serre relations. The Lorentz quantum algebra and quantum Weyl algebra are defined as subalgebras of a real form of \(\text{SL}_q (4, \mathbb{C})\). A second form of \(q\)-deformed Poincaré algebras is obtained by a contraction of another real form of \(\text{SL}_q (4, \mathbb{C})\).
Mathematics Subject Classification ID: 17B37
Mathematics Subject Classification ID: 81R50
Mathematics Subject Classification ID: 16W30
Mathematics Subject Classification ID: 16S30
zbMATH DE Number: 855665
zbMATH Keywords: Lorentz quantum algebra
zbMATH Keywords: quantum Weyl algebra
zbMATH Keywords: \(q\)-deformed Poincaré algebra
zbMATH Keywords: contraction
Wikidata QID: Q62579746
author: Jerzy Lukierski
author: Anatol Nowicki
MaRDI profile type: Publication
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full work available at URL: 0370-2693(92)90396-l
OpenAlex ID: W2093330984
published in: Physics Letters B
description: scientific article; zbMATH DE number 855665