Geometrical interpretation of Inönü-Wigner contractions

  • Eric A. Lord


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.


Field Theory Elementary Particle Quantum Field Theory General Formula Commutation Relation 
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  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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