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Symmetry transformations with noncommutative and nonassociative parameters

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Abstract

We study generalized symmetry transformations which involve nonassociative and noncommutative parameters. The structure underlying the group gradings is determined and examples are given. Graded algebras beyond Grassmann algebras are also presented. Nontrivial examples relevant for graded extensions beyond supersymmetry are given which resemble several features of quarks and might lead to a connection between the external and internal symmetries of the phenomenological models. Lie groups of transformations involving nonassociative and noncommutative parameters are obtained together with their corresponding graded Lie algebraic structures.

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  1. Departmento de Física, Univerdad de Antioquia, A.A. 1226, Medellín, Colombia

    Luis Alberto Wills-Toro

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  1. Luis Alberto Wills-Toro
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Wills-Toro, L.A. Symmetry transformations with noncommutative and nonassociative parameters. Int J Theor Phys 36, 2963–2997 (1997). https://doi.org/10.1007/BF02435721

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  • DOI: https://doi.org/10.1007/BF02435721

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