A class of nonassociative algebras and cogebras

Details A class of nonassociative algebras and cogebras A class of nonassociative algebras and cogebras

2005-01-07

arxiv.org/abs/math/0501097v1

Mathematics

Rings and Algebras

10 pages

Scientific paper

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.

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