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

JOURNAL OF ALGEBRA

卷:479

Article

Adashev, J. K.¹  Camacho, L. M.²  Omirov, B. A.¹ 

[1] Natl Univ Uzbekistan, Inst Math, Tashkent 100125, Uzbekistan

[2] Univ Seville, Dept Matemat Aplicada 1, Avda Reina Mercedes S-N, E-41012 Seville, Spain

关键词: Leibniz algebra;    Filiform algebra;    Quasi-filiform algebra;    Natural gradation;    Characteristic sequence;    2-cocycles;    Central extension;   

DOI  :  10.1016/j.jalgebra.2017.02.003

来源: Elsevier

【 摘 要 】

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. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free