Monomial bases and pre-Lie structure for free Lie algebras - Laboratoire Jean-Alexandre Dieudonné Accéder directement au contenu
Article Dans Une Revue Journal of Lie Theory Année : 2018

Monomial bases and pre-Lie structure for free Lie algebras

Mahdi J. Hasan Al-Kaabi
  • Fonction : Auteur

Résumé

In this paper, we construct a pre-Lie structure on the free Lie algebra L(E) generated by a set E, giving an explicit presentation of L(E) as the quotient of the free pre-Lie algebra generated by E, by some ideal I. The main result in this paper is a description of Gr\"obner bases in terms of trees.

Dates et versions

hal-02376211 , version 1 (22-11-2019)

Identifiants

Citer

Mahdi J. Hasan Al-Kaabi, Dominique Manchon, Frédéric Patras. Monomial bases and pre-Lie structure for free Lie algebras. Journal of Lie Theory, 2018. ⟨hal-02376211⟩
23 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More