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.
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页码：840 / 853
页数：13
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