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Central extensions of null-filiform and naturally graded filiform non-Lie Leibniz algebras (1511.07683v2)
Published 24 Nov 2015 in math.RA and math.KT
Abstract: 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.