3-filiform Leibniz algebras of maximum length

被引：0
|
作者：
Camacho, L. M. [1 ]
Canete, E. M. [1 ]
Gomez, J. R. [1 ]
Omirov, B. A. [2 ]
机构：
[1] Univ Seville, Seville, Spain
[2] Natl Univ Uzbekistan, Inst Math, Tashkent, Uzbekistan
来源：
SIBERIAN MATHEMATICAL JOURNAL | 2016年 / 57卷 / 01期
关键词：
Lie algebra; Leibniz algebra; nilpotency; natural gradation; characteristic sequence; p-filiform algebra; maximum length; cohomology; LIE-ALGEBRAS; FILIFORM;
D O I：
10.1134/S0037446616010043
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We complete the description of 3-filiform Leibniz algebras of maximum length. Moreover, using the good structure of algebras of maximum length, we study some of their cohomological properties. Our main tools are the previous results by Cabezas and Pastor [1], the construction of an appropriate homogeneous basis in the considered connected gradation and the computational support provided by two programs implemented in Mathematica.
引用
收藏
页码：24 / 35
页数：12
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