Multivectorial representation of Lie groups

In vector spaces of dimension n = p + q a multivector (Clifford) algebra C(p,q) can be constructed. In this paper a multivector C(p,q) representation, not restricted to the Bivector subalgebra C{sup 2}(p,q), is developed for some of the Lie groups more frequently used in physics. This representation...

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Bibliographic Details
Published in:International journal of theoretical physics 1991-02, Vol.30 (2), p.185-196
Main Authors: KELLER, J, RODRIGUEZ-ROMO, S
Format: Article
Language:English
Subjects:
662110 - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)
662210 - Specific Theories & Interaction Models
ALGEBRA
Classical and quantum physics: mechanics and fields
COMPOSITE MODELS
Exact sciences and technology
EXTENDED PARTICLE MODEL
FIELD THEORIES
GRAND UNIFIED THEORY
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICS
Pa
PARTICLE MODELS
Particle Systematics- Unified Theories & Models- (1992-)
Physics
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUARK MODEL
STRING MODELS
SUPERSYMMETRY
SYMMETRY
SYMMETRY GROUPS
TENSORS
Theory of quantized fields
UNIFIED GAUGE MODELS
UNIFIED-FIELD THEORIES
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Summary:In vector spaces of dimension n = p + q a multivector (Clifford) algebra C(p,q) can be constructed. In this paper a multivector C(p,q) representation, not restricted to the Bivector subalgebra C{sup 2}(p,q), is developed for some of the Lie groups more frequently used in physics. This representation should be especially useful in the special cases of (grand) unified gauge field theories, where the groups used do not always have a simple tensor representation.
ISSN:0020-7748
1572-9575
DOI:10.1007/BF00670711