Le principe de trialite, le principe d'interaction et les algebres de Lie graduees orthosymplectiques

  • A. Crumeyrolle
I. Superalgebras And Supermanifolds
Part of the Lecture Notes in Mathematics book series (LNM, volume 1251)


The aim is to give a logical foundation to introduce graded Lie algebras used in mathematical physics in the unified bosonic-fermionic schemes. A weak triality principle, is convenient to define several graded Lie algebras connected with the minkowskian and the conformo-minkowskian geometry. The basic notions and tools are Clifford algebras and spinors in the modern approach. We develop a systematic method giving naturally many graded Lie algebras, become very popular in the last decennary.


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    A. CRUMEYROLLE: Algèbres de Clifford et spineurs. Cours et séminaires du Département de Mathématiques, Toulouse III. 1974.Google Scholar
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    C. CHEVALLEY: The algebraic theory of spinors. Columbia U.P. New York. 1954.zbMATHGoogle Scholar
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    J. WESS-B. ZUMINO: Nucl. Phys. 70 (B. 39) 1974.Google Scholar

Copyright information

© Springer-Verlag 1987

Authors and Affiliations

  • A. Crumeyrolle
    • 1
  1. 1.Laboratoire d'Analyse sur les VariétésUniversité Paul SabatierToulouse CedexFrance

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