J.-M. Oudom
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J.-M. Oudom has a total of 1 co-authors. Here are the top co-authors by number of shared publications:
- D. Guin
3M, Université Montpellier II, case 051, Place Eugène Bataillon, 34 095 Montpellier, France
1 shared publication
Latest Publications
- 28 May 2008
- Published by Cambridge University Press (CUP) in Journal of K-theory
- Vol. 2 (1) , 147-167
On the Lie enveloping algebra of a pre-Lie algebra
We construct an associative product on the symmetric module S(L) of any pre-Lie algebra L. It turns S(L) into a Hopf algebra which is isomorphic to the enveloping algebra of LLie. Then we prove that in the case of rooted trees our construction gives the Grossman-Larson Hopf algebra, which is known to be the dual of the Connes-Kreimer Hopf algebra. We also show that symmetric brace algebras and pre-Lie algebras are the same. Finally, we give a similar interpretation of the Hopf algebra of planar rooted trees.
- 28 May 2008
- Published by Cambridge University Press (CUP) in Journal of K-theory
- Vol. 2 (1) , 147-167
On the Lie enveloping algebra of a pre-Lie algebra
We construct an associative product on the symmetric module S(L) of any pre-Lie algebra L. It turns S(L) into a Hopf algebra which is isomorphic to the enveloping algebra of LLie. Then we prove that in the case of rooted trees our construction gives the Grossman-Larson Hopf algebra, which is known to be the dual of the Connes-Kreimer Hopf algebra. We also show that symmetric brace algebras and pre-Lie algebras are the same. Finally, we give a similar interpretation of the Hopf algebra of planar rooted trees.