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arXiv · 1511.07683

Central extensions of null-filiform and naturally graded filiform non-Lie Leibniz algebras

J. K. Adashev·L. M. Camacho·B. A. Omirov
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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.

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J. K. Adashev, L. M. Camacho, B. A. Omirov. 2015-11-24. Central extensions of null-filiform and naturally graded filiform non-Lie Leibniz algebras. https://arxiv.org/abs/1511.07683

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