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Deformation and Contraction of Lie Algebras

Monique Levy-Nahas

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Source: Crossref

Published: Jun 1, 1967

DOI: 10.1063/1.1705338

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Source abstract

This paper deals with the theory of deformation of Lie algebras. A connection is established with the usual contraction theory, which leads to some ``more singular'' contractions. As a consequence it is shown that the only groups which can be contracted in the Poincaré group are SO(4, 1) and SO(3, 2).

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Deformation and Contraction of Lie Algebras — Mathematical Frontier Network