Quasi-filiform Leibniz algebras of maximum length

被引：0

作者：

Camacho L.M. ^{[1
]}

Cañete E.M. ^{[1
]}

Gómez J.R. ^{[1
]}

Omirov B.A. ^{[2
]}

机构：

[1] University of Seville, Seville

[2] Institute of Mathematics and Information Technologies, Tashkent

来源：

Siberian Mathematical Journal | 2011年 / 52卷 / 5期

关键词：

characteristic sequence; Leibniz algebra; Lie algebra; natural gradation; nilpotence; p-filiformness;

D O I：

10.1134/S0037446611050090

中图分类号：

学科分类号：

摘要：

The n-dimensional p-filiform Leibniz algebras of maximum length have already been studied with 0 ≤ p ≤ 2. For Lie algebras whose nilindex is equal to n-2 there is only one characteristic sequence, (n - 2, 1, 1), while in Leibniz theory we obtain the two possibilities: (n - 2, 1, 1) and (n - 2, 2). The first case (the 2-filiform case) is already known. The present paper deals with the second case, i. e., quasi-filiform non-Lie-Leibniz algebras of maximum length. Therefore this work completes the study of the maximum length of the Leibniz algebras with nilindex n - p with 0 ≤ p ≤ 2. © 2011 Pleiades Publishing, Ltd.

引用

页码：840 / 853

页数：13

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