A characterization of finite dimensional nilpotent Filippov algebras

被引：12

作者：

Darabi, H. ^{[1
]}

Saeedi, F. ^{[1
]}

Eshrati, M. ^{[1
]}

机构：

[1] Islamic Azad Univ, Mashhad Branch, Dept Math, Mashhad, Iran

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2016年 / 101卷

关键词：

n-Lie algebra; Multiplier; Nilpotent; LIE-ALGEBRAS; SUPERALGEBRAS; MULTIPLIERS;

D O I：

10.1016/j.geomphys.2015.12.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let A be a nilpotent Filippov (n-Lie) algebra of dimension d and put s(A) = ((d-1)(n)) + n -1 - dim M(A) and t(A) = ((d)(n)) - dim M(A), where M(A) denotes the multiplier of A. The aim of this paper is to classify all nilpotent n-Lie algebras A for which s(A) = 0, 1 or 2, and apply it in order to determine all nilpotent n-Lie algebras A satisfying 0 <= t(A) <= 8. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：100 / 107

页数：8

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