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International Journal of Theoretical Physics

, Volume 32, Issue 4, pp 503–516 | Cite as

Generalized Clifford algebras and hyperspin manifolds

  • N. Fleury
  • M. Rausch de Traubenberg
  • R. M. Yamaleev
Article

Abstract

We consider a special extension of Clifford algebras and show that these generalized Clifford algebras are naturally equipped with a metric defined by a fundamental form of degreen which isSL(n, φ) ⊗SL(n,φ) invariant. Using the embedding of the quaternions in the generalized Clifford algebras, in the Hermitian limit, we obtain an algebraic description of the inclusion of the Minkowski space into the hyperspin manifold.

Keywords

Manifold Field Theory Elementary Particle Quantum Field Theory Fundamental Form 
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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Copyright information

© Plenum Publishing Corporation 1993

Authors and Affiliations

  • N. Fleury
    • 1
  • M. Rausch de Traubenberg
    • 1
    • 2
  • R. M. Yamaleev
    • 3
  1. 1.Physique ThéoriqueCentre de Recherches Nucléaires et Université Louis PasteurStrasbourg CedexFrance
  2. 2.Institut für Theoretische Physik der Universität HeidelbergHeidelbergGermany
  3. 3.Joint Institute for Nuclear ResearchDubnaRussia

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