DERIVATIONS OF TERNARY LIE ALGEBRAS AND GENERALIZATIONS

Year 2017, Volume: 21 Issue: 21, 55 - 75, 17.01.2017

Amine Ben Abdeljelil Mohamed Elhamdadi Abdenacer Makhlouf

https://doi.org/10.24330/ieja.296030

Cited By: 2

Abstract

We study derivations of ternary Lie algebras. Precisely, we investigate
the relation between derivations of Lie algebras and the induced ternary
Lie algebras. We also explore the spaces of quasi-derivations, the centroid and
the quasi-centroid and give some properties. Finally, we compute these spaces
for low dimensional ternary Lie algebras g. 

Keywords

Ternary Lie algebra, ternary Lie algebra induced by Lie algebra

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