An operad is never free as a pre-Lie algebra - Laboratoire de Mathematiques Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2020

An operad is never free as a pre-Lie algebra

Résumé

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.

Dates et versions

hal-03042890 , version 1 (07-12-2020)

Identifiants

Citer

Emily Burgunder, Bérénice Delcroix-Oger, Dominique Manchon. An operad is never free as a pre-Lie algebra. 2020. ⟨hal-03042890⟩
23 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More