Monomial bases and pre-Lie structure for free Lie algebras
Rings and Algebras
2017-08-29 v1
Abstract
In this paper, we construct a pre-Lie structure on the free Lie algebra L(E) generated by a set E, giving an explicit presentation of L(E) as the quotient of the free pre-Lie algebra generated by E, by some ideal I. The main result in this paper is a description of Gr\"obner bases in terms of trees.
Cite
@article{arxiv.1708.08312,
title = {Monomial bases and pre-Lie structure for free Lie algebras},
author = {Mahdi J. Hasan Al-Kaabi and Dominique Manchon and Frédéric Patras},
journal= {arXiv preprint arXiv:1708.08312},
year = {2017}
}