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arxiv: 1212.1820 · v1 · pith:O62WFLRInew · submitted 2012-12-08 · 🧮 math-ph · math.MP· math.RA

S-expansions of three-dimensional Lie algebras

classification 🧮 math-ph math.MPmath.RA
keywords algebrass-expansionsthree-dimensionalalgebraallowsconsidereddefinedimension
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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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