English

Universal equivalence of partially commutative metabelian Lie algebras

Rings and Algebras 2012-07-10 v5 Group Theory

Abstract

In this paper, we find a criterium for universal equivalence of partially commutative Lie algebras whose defining graphs are trees. Besides, we obtain bases for partially commutative metabelian Lie algebras.

Keywords

Cite

@article{arxiv.1107.0430,
  title  = {Universal equivalence of partially commutative metabelian Lie algebras},
  author = {Evgeny Poroshenko and Evgeny Timoshenko},
  journal= {arXiv preprint arXiv:1107.0430},
  year   = {2012}
}

Comments

27 pages, 3 figures, it is slightly rewised version