Cogebres Lie-admissibles - Lie-admissible coalgebras
Rings and Algebras
2007-05-23 v1
Abstract
We present coalgebras of some classes of nonassociative algebras whose associator satisfies invariance conditions given by the action of the 3-order symmetric group. Amongst these algebras we find the well-known Vinberg algebras, the Pre-Lie algebras, the Lie-admissible algebras and the 3-power associative algebras. We study properties between these coalgebras and algebras which generalize the associative case.
Keywords
Cite
@article{arxiv.math/0502318,
title = {Cogebres Lie-admissibles - Lie-admissible coalgebras},
author = {Michel Goze and Elisabeth Remm},
journal= {arXiv preprint arXiv:math/0502318},
year = {2007}
}
Comments
6 pages