S-expansions of three-dimensional Lie algebras

Published 8 Dec 2012 in math-ph, math.MP, and math.RA | (1212.1820v1)

Abstract: S-expansions of three-dimensional real Lie algebras are considered. It is shown that the expansion operation allows one to obtain a non-unimodular Lie algebra from a unimodular one. Nevertheless S-expansions define no ordering on the variety of Lie algebras of a fixed dimension.

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Maryna Nesterenko

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