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

共 50 条

[41] Some Classes of Nilpotent Associative Algebras [J].

I. A. Karimjanov ;

M. Ladra .

Mediterranean Journal of Mathematics, 2020, 17

[42] THE ALGEBRAIC CLASSIFICATION OF NILPOTENT COMMUTATIVE ALGEBRAS [J].

Jumaniyozov, Doston ;

Kaygorodov, Ivan ;

Khudoyberdiyev, Abror .

ELECTRONIC RESEARCH ARCHIVE, 2021, 29 (06) :3909-3993

[43] An overview of free nilpotent Lie algebras [J].

Benito, Pilar ;

de-la-Concepcion, Daniel .

COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE, 2014, 55 (03) :325-339

[44] On nilpotent Lie algebras of small breadth [J].

Khuhirun, Borworn ;

Misra, Kailash C. ;

Stitzinger, Ernie .

JOURNAL OF ALGEBRA, 2015, 444 :328-338

[45] The algebraic classification of nilpotent Tortkara algebras [J].

Gorshkov, Ilya ;

Kaygorodov, Ivan ;

Khrypchenko, Mykola .

COMMUNICATIONS IN ALGEBRA, 2020, 48 (08) :3608-3623

[46] Nilpotent symplectic alternating algebras I [J].

Sorkatti, Layla ;

Traustason, Gunnar .

JOURNAL OF ALGEBRA, 2015, 423 :615-635

[47] The geometric classification of nilpotent Tortkara algebras [J].

Gorshkov, Ilya ;

Kaygorodov, Ivan ;

Khrypchenko, Mykola .

COMMUNICATIONS IN ALGEBRA, 2020, 48 (01) :204-209

[48] Degenerations of Zinbiel and nilpotent Leibniz algebras [J].

Kaygorodov, Ivan ;

Popov, Yury ;

Pozhidaev, Alexandre ;

Volkov, Yury .

LINEAR & MULTILINEAR ALGEBRA, 2018, 66 (04) :704-716

[49] A CLASS OF LOCALLY NILPOTENT COMMUTATIVE ALGEBRAS [J].

Behn, Antonio ;

Elduque, Alberto ;

Labra, Alicia .

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2011, 21 (05) :763-774

[50] Characterization of capable nilpotent n-Lie algebras of class two by their Schur multipliers [J].

Zahra Hoseini ;

Farshid Saeedi ;

Hamid Darabi .

Rendiconti del Circolo Matematico di Palermo Series 2, 2019, 68 :541-551

← 1 2 3 4 5 →