English

S-expansions of three-dimensional Lie algebras

Mathematical Physics 2012-12-11 v1 math.MP Rings and Algebras

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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Cite

@article{arxiv.1212.1820,
  title  = {S-expansions of three-dimensional Lie algebras},
  author = {Maryna Nesterenko},
  journal= {arXiv preprint arXiv:1212.1820},
  year   = {2012}
}

Comments

6 pages, 1 figure