A class of nonassociative algebras including flexible and alternative algebras, operads and deformations

Details A class of nonassociative algebras including flexible and alternative algebras, operads and deformations A class of nonassociative algebras including flexible and alternative algebras, operads and deformations

2009-10-05

arxiv.org/abs/0910.0700v1

Mathematics

Rings and Algebras

18 pages

Scientific paper

There exists two types of nonassociative algebras whose associator satisfies a symmetric relation associated with a 1-dimensional invariant vector space with respect to the natural action of the symmetric group on three elements. The first one corresponds to the Lie-admissible algebras that we studied in a previous paper. Here we are interested by the second one corresponding to the third power associative algebras.

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