Open Access
2016 A Note on Relations Between Hom-Malcev Algebras and Hom-Lie-Yamaguti Algebras
Donatien Gaparayi, A. Nourou Issa
Afr. Diaspora J. Math. (N.S.) 19(1): 49-57 (2016).

Abstract

A Hom-Lie-Yamaguti algebra, whose ternary operation expresses through its binary one in a specific way, is a multiplicative Hom-Malcev algebra. Any multiplicative Hom-Malcev algebra over a field of characteristic zero has a natural Hom-Lie-Yamaguti structure.

Citation

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Donatien Gaparayi. A. Nourou Issa. "A Note on Relations Between Hom-Malcev Algebras and Hom-Lie-Yamaguti Algebras." Afr. Diaspora J. Math. (N.S.) 19 (1) 49 - 57, 2016.

Information

Published: 2016
First available in Project Euclid: 14 September 2016

zbMATH: 1381.17003
MathSciNet: MR3538975

Subjects:
Primary: 17D10 , 17D99

Keywords: Hom-Lie-Yamaguti algebra , Hom-Malcev algebra , Lie-Yamaguti algebra (i.e. generalized Lie triple system Lie triple algebra) , Malcev algebra

Rights: Copyright © 2016 Mathematical Research Publishers

Vol.19 • No. 1 • 2016
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