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

2015/11/24 by J. Q. Adashev, Adashev, J. K., L.M. Camacho +3
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Finite Group Theory Research #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1511.07683

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≥ 5) of these algebras are split.

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