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

被引：29

作者：

Adashev, J. K. ^{[1
]}

Camacho, L. M. ^{[2
]}

Omirov, B. A. ^{[1
]}

机构：

[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

来源：

JOURNAL OF ALGEBRA | 2017年 / 479卷

关键词：

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

D O I：

10.1016/j.jalgebra.2017.02.003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：461 / 486

页数：26

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