paper

Post-symmetric braces and integration of post-Lie algebras

arXiv:1907.12081 · doi:10.1016/j.jalgebra.2020.03.018

Abstract

In this paper we identify the post-Lie analogue of the symmetric brace algebras, advocate their role in the theory of the associated D-algebras and present some relations with the so-called post-Lie Magnus expansion.

This is published version of the paper previously titled "On the post-symmetric brace algebras". The last section of the older version was removed from the new one and it will be part of a new preprint. 25 pages, 20 figures