Journal of Generalized Lie Theory and Applications

A Class of Nonassociative Algebras Including Flexible and Alternative Algebras, Operads and Deformations

E Remm and M Goze

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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 ${\Sigma _3}$. 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.

Article information

Source
J. Gen. Lie Theory Appl., Volume 9, Number 2 (2015), 6 pages.

Dates
First available in Project Euclid: 2 February 2016

Permanent link to this document
https://projecteuclid.org/euclid.jglta/1454422009

Digital Object Identifier
doi:10.4172/1736-4337.1000235

Mathematical Reviews number (MathSciNet)
MR3642246

Zentralblatt MATH identifier
06538946

Keywords
Nonassociative algebras Alternative algebras Third power associative algebras Operads

Citation

Remm, E; Goze, M. A Class of Nonassociative Algebras Including Flexible and Alternative Algebras, Operads and Deformations. J. Gen. Lie Theory Appl. 9 (2015), no. 2, 6 pages. doi:10.4172/1736-4337.1000235. https://projecteuclid.org/euclid.jglta/1454422009


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