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Geometrical interpretation of Inönü-Wigner contractions

  • Eric A. Lord
Article

Abstract

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.

Keywords

Field Theory Elementary Particle Quantum Field Theory General Formula Commutation Relation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Reference

  1. Fernandez Sanjuan, M. A. (1984). Group contraction and the Nine Cayley-Klein Geometries,International Journal of Theoretical Physics,23, 1–14.Google Scholar

Copyright information

© Plenum Publishing Corporation 1985

Authors and Affiliations

  • Eric A. Lord
    • 1
  1. 1.Department of Applied MathematicsIndian Institute of ScienceBangaloreIndia

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