alexa Abstract | A Class of Nonassociative Algebras Including Flexible and Alternative Algebras, Operads and Deformations
ISSN: 1736-4337

Journal of Generalized Lie Theory and Applications
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Research Article Open Access

Abstract

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 Σ3. The first one corresponds to the Lie-admissible algebras and this class has been studied in a previous paper of Remm and Goze. Here we are interested by the second one corresponding to the third power associative algebras.

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Author(s): Remm E and Goze M

Keywords

Nonassociative algebras, Alternative algebras, Third power associative algebras, Operads

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