Geodesic
Trees, free right-symmetric algebras, free Novikov algebras and identities
Homology, homotopy, and applications, Tome 4 (2002) no. 2, pp. 165-190.

Voir la notice de l'article provenant de la source International Press of Boston

An algebra with the identity $x\circ (y\circ z-z\circ y)= (x\circ y)\circ z-(x\circ z)\circ y$ is called right-symmetric. A right-symmetric algebra with the identity $x\circ(y\circ z)= y\circ(x\circ z)$ is called Novikov. We describe bases of free right-symmetric algebras and free Novikov algebras and give realizations of them in terms of trees. The free Lie algebra is obtained as a Lie subalgebra of the free right-symmetric algebra. We use our methods to study identities of Witt algebras.
DOI : 10.4310/HHA.2002.v4.n2.a8
Classification : 17B01, 17B66, 17D25
Keywords: rooted trees, Lie-admissable algebras, right-symmetric algebras, Novikov algebras, vector fields algebras, identities, free basis 
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     title = {Trees, free right-symmetric algebras, free {Novikov} algebras and identities},
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Askar Dzhumadiľdaev; Clas Löfwall. Trees, free right-symmetric algebras, free Novikov algebras and identities. Homology, homotopy, and applications, Tome 4 (2002) no. 2, pp. 165-190. doi : 10.4310/HHA.2002.v4.n2.a8. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2002.v4.n2.a8/

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