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arXiv · 1903.02960

Poincare-Birkhoff-Witt theorem for pre-Lie and postLie algebras

Vsevolod Gubarev
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Abstract

We construct the universal enveloping preassociative and postassociative algebra for a pre-Lie and a postLie algebra respectively. We show that the pairs $(\mathrm{preLie},\mathrm{preAs})$ and $(\mathrm{postLie},\mathrm{postAs})$ are Poincare-Birkhoff-Witt-pairs, for the first one it's a reproof of the result of V. Dotsenko and P. Tamaroff.

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BibTeXRIS

Vsevolod Gubarev. 2019-03-06. Poincare-Birkhoff-Witt theorem for pre-Lie and postLie algebras. https://arxiv.org/abs/1903.02960

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