Geometrical interpretation of Inönü-Wigner contractions
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The Inönü-Wigner contractions which interrelate the Lie algebras of the isometry groups of metric spaces are discussed with reference to deformations of the absolutes of the spaces. A general formula is derived for the Lie algebra commutation relations of the isometry group for anyN-dimensional metric space. These ideas are illustrated by a discussion of important particular cases, which interrelate the four-dimensional de Sitter, Poincaré, and Galilean groups.
KeywordsField Theory Elementary Particle Quantum Field Theory General Formula Commutation Relation
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- Fernandez Sanjuan, M. A. (1984). Group contraction and the Nine Cayley-Klein Geometries,International Journal of Theoretical Physics,23, 1–14.Google Scholar