Title of article
DERIVATIONS OF TERNARY LIE ALGEBRAS and GENERALIZATIONS
Author/Authors
Abdeljelil, Amine Ben Department of Mathematics - University of South Florida, U.S.A. , Elhamdadi, Mohamed Department of Mathematics - University of South Florida, U.S.A. , Makhlouf, Abdenacer Laboratoire de Mathématiques - Informatique et Applications - Université de Haute Alsace, France
Pages
21
From page
55
To page
75
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
Journal title
International Electronic Journal of Algebra
Serial Year
2017
Full Text URL
Record number
2600837
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