Abstract
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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Références
A. CRUMEYROLLE: Algèbres de Clifford et spineurs. Cours et séminaires du Département de Mathématiques, Toulouse III. 1974.
C. CHEVALLEY: The algebraic theory of spinors. Columbia U.P. New York. 1954.
J. WESS-B. ZUMINO: Nucl. Phys. 70 (B. 39) 1974.
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© 1987 Springer-Verlag
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Crumeyrolle, A. (1987). Le principe de trialite, le principe d'interaction et les algebres de Lie graduees orthosymplectiques. In: García, P.L., Pérez-Rendón, A. (eds) Differential Geometric Methods in Mathematical Physics. Lecture Notes in Mathematics, vol 1251. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0077314
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DOI: https://doi.org/10.1007/BFb0077314
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