English

A class of nonassociative algebras and cogebras

Rings and Algebras 2007-05-23 v1

Abstract

We present 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 wellknown Pre Lie or Vinberg algebras and the Lie admissible algebras. We study the corresponding noncoassociative cogebras.

Keywords

Cite

@article{arxiv.math/0501097,
  title  = {A class of nonassociative algebras and cogebras},
  author = {Michel Goze},
  journal= {arXiv preprint arXiv:math/0501097},
  year   = {2007}
}

Comments

10 pages