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Irreducible Lie algebra extensions of the Poincaré algebra

II. Extensions with arbitrary kernels

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Abstract

We analyse the extensions of the Poincaré algebraP with arbitrary kernels. The main tool is a reduction theorem which generalizes the Hochschild-Serre theorem forn=2. This reduction theorem is proved and used to investigate the structure of the Lie algebras obtained by extension.

We look particularly for the irreducible and ℛ-irreducible extensions ofP and we classify the types of irreducible extensions with arbitrary kernels.

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Author notes

  1. U. Cattaneo

    Present address: Instituut voor Theoretische Fysica, Katholieke Universiteit, Driehuizerweg 200, Nijmegen, Netherlands

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  1. Centre de Physique Nucléaire, University of Louvain, Heverlee, 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. 20, 220–244 (1971). https://doi.org/10.1007/BF01646556

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  • DOI: https://doi.org/10.1007/BF01646556

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