Bases for partially commutative Lie algebras
Rings and Algebras
2010-12-07 v1 Group Theory
Representation Theory
Abstract
In this paper, linear bases for the partially commutative Lie algebras are found. The method of the Gr\"{o}bner--Shirshov bases is used. It easily follows from the structure that the equality problem is algorithmically solvable for the partially commutative Lie algebras.
Cite
@article{arxiv.1012.1089,
title = {Bases for partially commutative Lie algebras},
author = {Evgeny Poroshenko},
journal= {arXiv preprint arXiv:1012.1089},
year = {2010}
}