Central extensions of null-filiform and naturally graded filiform non-Lie Leibniz algebras
J. Q. AdashevInstitute of Mathematics, National University of Uzbekistan, Tashkent 100125, UzbekistanL.M. CamachoDpto. Matemática Aplicada I, Universidad de Sevilla, Avda. Reina Mercedes s/n, 41012 Sevilla, SpainB. A. OmirovInstitute of Mathematics, National University of Uzbekistan, Tashkent 100125, Uzbekistan
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Аннотация
In this paper we describe central extensions of some nilpotent Leibniz algebras. Namely, central extensions of the Leibniz algebra with maximal index of nilpotency are classified. Moreover, non-split central extensions of naturally graded filiform non-Lie Leibniz algebras are described up to isomorphism. It is shown that $k$-dimensional central extensions ($k\geq 5$) of these algebras are split.
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