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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Research Article| December 21 2004
Deformation and Contraction of Lie Algebras
Monique Levy‐Nahas; Deformation and Contraction of Lie Algebras. J. Math. Phys. 1 June 1967; 8 (6): 1211–1222. https://doi.org/10.1063/1.1705338
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