Add to ORKGInternational audienceIn 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
A theorem independently due to A.I. Shirshov and E. Witt asserts that every subalgebra of a free Lie...
AbstractLet X be an ordered alphabet. Lie2(n) (and P2(n) respectively) are the multilinear parts of ...
gebra of a free Lie algebra (over a field) is free. The main step in Shirshov’s proof is a little kn...
International audienceIn this paper, we construct a pre-Lie structure on the free Lie algebra L(E) g...
In this thesis, we study the concept of free pre-Lie algebra generated by a (non-empty) set. We revi...
Dans cette thèse, nous étudions le concept d’algèbre pré-Lie libre engendrée par un ensemble (non-vi...
12 pages, uses xypicThe pre-Lie operad can be realized as a space T of labelled rooted trees. A resu...
24 pages, tikz figuresInternational audienceIn this paper, we first define the pre-Lie family algebr...
14 pagesWe prove that free pre-Lie algebras, when considered as Lie algebras, are free. Working in t...
Let F and L be free Lie algebras of finite rank n and m respectively and Ø be a homomorphism from F ...
We use Lazard Elimination to devise some new bases of the free Lie algebra which (like classical Ha...
We use the technique known as elimination to devise some new bases of the free Lie algebra which (li...
AbstractWe use the technique known as elimination to devise some new bases of the free Lie algebra w...
An operad is naturally endowed with a pre-Lie structure. We prove that as a pre-Lie algebra an opera...
We derive a sufficient condition for a generating set of an ideal in the free (non-associative, non-...
A theorem independently due to A.I. Shirshov and E. Witt asserts that every subalgebra of a free Lie...
AbstractLet X be an ordered alphabet. Lie2(n) (and P2(n) respectively) are the multilinear parts of ...
gebra of a free Lie algebra (over a field) is free. The main step in Shirshov’s proof is a little kn...
International audienceIn this paper, we construct a pre-Lie structure on the free Lie algebra L(E) g...
In this thesis, we study the concept of free pre-Lie algebra generated by a (non-empty) set. We revi...
Dans cette thèse, nous étudions le concept d’algèbre pré-Lie libre engendrée par un ensemble (non-vi...
12 pages, uses xypicThe pre-Lie operad can be realized as a space T of labelled rooted trees. A resu...
24 pages, tikz figuresInternational audienceIn this paper, we first define the pre-Lie family algebr...
14 pagesWe prove that free pre-Lie algebras, when considered as Lie algebras, are free. Working in t...
Let F and L be free Lie algebras of finite rank n and m respectively and Ø be a homomorphism from F ...
We use Lazard Elimination to devise some new bases of the free Lie algebra which (like classical Ha...
We use the technique known as elimination to devise some new bases of the free Lie algebra which (li...
AbstractWe use the technique known as elimination to devise some new bases of the free Lie algebra w...
An operad is naturally endowed with a pre-Lie structure. We prove that as a pre-Lie algebra an opera...
We derive a sufficient condition for a generating set of an ideal in the free (non-associative, non-...
A theorem independently due to A.I. Shirshov and E. Witt asserts that every subalgebra of a free Lie...
AbstractLet X be an ordered alphabet. Lie2(n) (and P2(n) respectively) are the multilinear parts of ...
gebra of a free Lie algebra (over a field) is free. The main step in Shirshov’s proof is a little kn...