The non-symmetric operad pre-Lie is free
Rings and Algebras
2016-11-08 v2 Combinatorics
Abstract
We prove that the pre-Lie operad is a free non-symmetric operad.
Cite
@article{arxiv.0811.0888,
title = {The non-symmetric operad pre-Lie is free},
author = {Nantel Bergeron and Muriel Livernet},
journal= {arXiv preprint arXiv:0811.0888},
year = {2016}
}
Comments
12 pages. Details on the trees used added in definition 1.2. The proof of corollary 3.6 has been changed