Post-Lie algebras and factorization theorems
Rings and Algebras
2017-05-12 v1
Abstract
In this note we further explore the properties of universal enveloping algebras associated to a post-Lie algebra. Emphasizing the role of the Magnus expansion, we analyze the properties of group like-elements belonging to (suitable completions) of those Hopf algebras. Of particular interest is the case of post-Lie algebras defined in terms of solutions of modified classical Yang-Baxter equations. In this setting we will study factorization properties of the aforementioned group-like elements.
Keywords
Cite
@article{arxiv.1701.07786,
title = {Post-Lie algebras and factorization theorems},
author = {Kurusch Ebrahimi-Fard and Igor Mencattini and Hans Munthe-Kaas},
journal= {arXiv preprint arXiv:1701.07786},
year = {2017}
}