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Irreducible Lie algebra extensions of the Poincaré algebra

I. Extensions with abelian kernels

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Abstract

We use cohomology of Lie algebras to analyse the abelian extensions of the Poincaré algebraP. We study particularly the irreducible and truly irreducible extensions: some irreducibility criteria are proved and applied to obtain a classification of types of irreducible abelian extensions ofP. We give a characterization of the minimal essential extensions in terms of truly irreducible extensions.

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Authors and Affiliations

  1. University of Louvain, Belgium

    U. Cattaneo

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  1. U. Cattaneo
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Cattaneo, U. Irreducible Lie algebra extensions of the Poincaré algebra. Commun.Math. Phys. 13, 226–245 (1969). https://doi.org/10.1007/BF01645489

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  • DOI: https://doi.org/10.1007/BF01645489

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