Lois pr\'e-Lie en interaction
Rings and Algebras
2009-07-07 v3
Abstract
D. Calaque, K. Ebrahimi-Fard and D. Manchon have recently defined a Hopf algebra by introducing a new coproduct on a commutative algebra of rooted forests. The space of primitive elements of the graded dual is endowed with a left pre-Lie product defined in terms of insertion of a tree inside another. In this work we prove a ``derivation'' relation between this pre-Lie structure and the left pre-Lie product defined by grafting.
Keywords
Cite
@article{arxiv.0811.2153,
title = {Lois pr\'e-Lie en interaction},
author = {Dominique Manchon and Abdellatif Saidi},
journal= {arXiv preprint arXiv:0811.2153},
year = {2009}
}
Comments
13 pages, in French. Improved version: confusion between two grafting laws removed, and operadic approach outlined