Add to ORKGAn 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
We show that the operad Lie is free as a non-symmetric operad. Then we study the generating series c...
We show how to use Gröbner bases for operads to prove various freeness theorems: freeness of certain...
International audienceIn this paper, we construct a pre-Lie structure on the free Lie algebra L(E) g...
An operad is naturally endowed with a pre-Lie structure. We prove that as a pre-Lie algebra an opera...
An operad is naturally endowed with a pre-Lie structure. We prove that as a pre-Lie algebra an opera...
12 pages. Details on the trees used added in definition 1.2. The proof of corollary 3.6 has been cha...
14 pagesWe prove that free pre-Lie algebras, when considered as Lie algebras, are free. Working in t...
14 pagesWe prove that free pre-Lie algebras, when considered as Lie algebras, are free. Working in t...
14 pagesWe prove that free pre-Lie algebras, when considered as Lie algebras, are free. Working in t...
AbstractThe operad Lie can be constructed as the operad of primitives PrimAs from the operad As of a...
We show that the operad Lie is free as a non-symmetric operad. Then we study the generating series c...
We show that the operad Lie is free as a non-symmetric operad. Then we study the generating series c...
We show that the operad Lie is free as a non-symmetric operad. Then we study the generating series c...
We show that the operad Lie is free as a non-symmetric operad. Then we study the generating series c...
We show that the operad Lie is free as a non-symmetric operad. Then we study the generating series c...
We show that the operad Lie is free as a non-symmetric operad. Then we study the generating series c...
We show how to use Gröbner bases for operads to prove various freeness theorems: freeness of certain...
International audienceIn this paper, we construct a pre-Lie structure on the free Lie algebra L(E) g...
An operad is naturally endowed with a pre-Lie structure. We prove that as a pre-Lie algebra an opera...
An operad is naturally endowed with a pre-Lie structure. We prove that as a pre-Lie algebra an opera...
12 pages. Details on the trees used added in definition 1.2. The proof of corollary 3.6 has been cha...
14 pagesWe prove that free pre-Lie algebras, when considered as Lie algebras, are free. Working in t...
14 pagesWe prove that free pre-Lie algebras, when considered as Lie algebras, are free. Working in t...
14 pagesWe prove that free pre-Lie algebras, when considered as Lie algebras, are free. Working in t...
AbstractThe operad Lie can be constructed as the operad of primitives PrimAs from the operad As of a...
We show that the operad Lie is free as a non-symmetric operad. Then we study the generating series c...
We show that the operad Lie is free as a non-symmetric operad. Then we study the generating series c...
We show that the operad Lie is free as a non-symmetric operad. Then we study the generating series c...
We show that the operad Lie is free as a non-symmetric operad. Then we study the generating series c...
We show that the operad Lie is free as a non-symmetric operad. Then we study the generating series c...
We show that the operad Lie is free as a non-symmetric operad. Then we study the generating series c...
We show how to use Gröbner bases for operads to prove various freeness theorems: freeness of certain...
International audienceIn this paper, we construct a pre-Lie structure on the free Lie algebra L(E) g...