Poincare-Birkhoff-Witt theorem for pre-Lie and postLie algebras
Rings and Algebras
2022-01-25 v1
Abstract
We construct the universal enveloping preassociative and postassociative algebra for a pre-Lie and a postLie algebra respectively. We show that the pairs and are Poincare-Birkhoff-Witt-pairs, for the first one it's a reproof of the result of V. Dotsenko and P. Tamaroff.
Keywords
Cite
@article{arxiv.1903.02960,
title = {Poincare-Birkhoff-Witt theorem for pre-Lie and postLie algebras},
author = {Vsevolod Gubarev},
journal= {arXiv preprint arXiv:1903.02960},
year = {2022}
}
Comments
17 p. arXiv admin note: text overlap with arXiv:1808.08839, arXiv:1808.09822