Gr\"obner-Shirshov bases for free partially commutative Lie algebras
Rings and Algebras
2014-01-28 v1
Abstract
In this paper, by using Composition-Diamond lemma for Lie algebras, we give a Gr\"obner-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.
Keywords
Cite
@article{arxiv.1105.4796,
title = {Gr\"obner-Shirshov bases for free partially commutative Lie algebras},
author = {Yuqun Chen and Qiuhui Mo},
journal= {arXiv preprint arXiv:1105.4796},
year = {2014}
}