Irreducible Lie algebra extensions of the Poincaré algebra |
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Authors: | U. Cattaneo |
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Affiliation: | (1) Centre de Physique Nucléaire, University of Louvain, Heverlee, Belgium;(2) Present address: Instituut voor Theoretische Fysica, Katholieke Universiteit, Driehuizerweg 200, Nijmegen, Netherlands |
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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 -irreducible extensions ofP and we classify the types of irreducible extensions with arbitrary kernels. |
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