Preprint

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

arXiv (Cornell University)repository2015en

ABI

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.

Topics

Advanced Topics in Algebra Finite Group Theory Research Nonlinear Waves and Solitons

Identifiers

DOI: 10.48550/arxiv.1511.07683

Citations and references

Cited by 00 references

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