Multivectorial representation of Lie groups
type: Item
instance of: scholarly article
title: Multivectorial representation of Lie groups
zbMATH Open document ID: 0717.22012
DOI: 10.1007/BF00670711
author: Jaime Keller
author: Suemi Rodríguez-Romo
published in: International Journal of Theoretical Physics
publication date: 1991-01-01T00:00:00Z
review text: The authors start with one of the possible definitions of a Clifford algebra [see for instance, \textit{D. Hestenes}, Space-time algebra (Gordon and Breach, New York, 1966; Zbl 0183.289))] to construct a multivector Clifford algebra representation in the vector space with \(n=p+q\) dimension. This representation is further developed for some Lie groups used rather often in field theories, namely SU(0,5), SU(1,3), SU(0,3), and SU(2).
Mathematics Subject Classification ID: 22E70
Mathematics Subject Classification ID: 15A66
Mathematics Subject Classification ID: 81R05
zbMATH DE Number: 4181662
zbMATH Keywords: multivector Clifford algebra representation
zbMATH Keywords: Lie groups
Wikidata QID: Q115394968
reviewed by: Eugene Kryachko
MaRDI profile type: Publication
cites work: An Informal Introduction to Gauge Field Theories
cites work: Q3241211
cites work: Geometrical properties of the algebraic spinors for R3,1
cites work: Spinors and space-times
cites work: Some problems of spinor and algebraic spinor structures
cites work: Q3715048
cites work: Metrics are Clifford algebra involutions
cites work: Q5574699
cites work: Clifford algebra to geometric calculus. A unified language for mathematics and physics
cites work: Generalization of the Dirac equation admitting isospin and color symmetries
cites work: Spinors and multivectors as a unified tool for spacetime geometry and for elementary particle physics
cites work: A multivectorial Dirac equation
cites work: Q3778917
full work available at URL: https://doi.org/10.1007/bf00670711
OpenAlex ID: W2001923712
description: scientific article; zbMATH DE number 4181662