On ω-Lie superalgebras-Reference-Cited by-同舟云学术

On ω-Lie superalgebras

Published:2018-11 Issue:11 Volume:17 Page:1850212
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Zhou Jia¹,Chen Liangyun²,Ma Yao²,Sun Bing²

Affiliation:

1. College of Information Technology, Jilin Agricultural University, Changchun 130118, P. R. China

2. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, P. R. China

Abstract

Let [Formula: see text] be a finite-dimensional vector space over a field [Formula: see text] of characteristic zero, [Formula: see text] an anti-commutative product on [Formula: see text] and [Formula: see text] a bilinear form on [Formula: see text]. The triple [Formula: see text] is called an [Formula: see text]-Lie algebra if [Formula: see text] (graded [Formula: see text]-Jacobi identity) for all [Formula: see text] In this paper, we introduce the notion of an [Formula: see text]-Lie superalgebra. We study elementary properties and representations of [Formula: see text]-Lie superalgebras. We classify all 3- and 4-dimensional [Formula: see text]-Lie superalgebras over the field of complex numbers.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498818502122

Reference11 articles.

1. Classification of Solvable 3-Dimensional Lie Triple Systems

2. Classification of three-dimensional complex $\omega$-Lie algebras

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On Low-Dimensional Complex $$\omega $$-Lie Superalgebras;Advances in Applied Clifford Algebras;2021-06-19