An operad is never free as a pre-Lie algebra

Autor:	Burgunder, Emily, Delcroix-Oger, Bérénice, Manchon, Dominique
Rok vydání:	2017
Předmět:	Mathematics - Rings and Algebras
Druh dokumentu:	Working Paper
Popis:	An operad is naturally endowed with a pre-Lie structure. We prove that as a pre-Lie algebra an operad is not free. The proof holds on defining a non-vanishing linear operation in the pre-Lie algebra which is zero in any operad.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1702.01949 Zobrazit plný text záznamu View this record from Arxiv