Gröbner-Shirshov bases for free partially commutative Lie algebras
arXiv:1105.4796
Abstract
In this paper, by using Composition-Diamond lemma for Lie algebras, we give a Gröbner-Shirshov basis for free partially commutative Lie algebra over a commutative ring with unit. As an application, we obtain a normal form for such a Lie algebra.