CENTRAL DERIVATION OF SOME CLASSES OF LEIBNIZ ALGEBRAS

CENTRAL DERIVATION OF SOME CLASSES OF LEIBNIZ ALGEBRAS

H. Almutari, A. G. Ahmad

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Abstract

In this study, we deal with central derivation of nite low dimensional Leibniz algebras. We provide some properties of the central derivation algebras. Description of the central derivation algebras, with their dimensions, for complex Leibniz algebras of dimensions two, three and four are given and summarized in tabular form. The result is then used to determine which centroid is decomposable or indecomposable.

Keywords

Central Derivation, Leibniz algebra, Lie Algebra, centroid.