Kinematical superalgebras and Lie algebras of order 3

Journal Article · Sun Jun 15 00:00:00 EDT 2008 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.2942414· OSTI ID:21100323

Campoamor-Stursberg, R ^[1]; Rausch de Traubenberg, M ^[2]

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1. IMI and Dpto. Geometri Topologia, Fac. CC. Matematicas, Universidad Complutense de Madrid, Plaza de Ciencias, 3, F-28040 Madrid (Spain)
2. Laboratoire de Physique Theorique, CNRS UMR 7085, Universite Louis Pasteur, 3 rue de l'Universite, 67084 Strasbourg Cedex (France)

We study and classify kinematical algebras which appear in the framework of Lie superalgebras or Lie algebras of order 3. All these algebras are related through generalized Inonue-Wigner contractions from either the orthosymplectic superalgebra or the de Sitter Lie algebra of order 3.

• OSTI ID: 21100323
• Journal Information: Journal of Mathematical Physics, Vol. 49, Issue 6; Other Information: DOI: 10.1063/1.2942414; (c) 2008 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGEBRA
DE SITTER GROUP
DE SITTER SPACE
QUANTUM MECHANICS
SUPERSYMMETRY