Nijenhuis operators on $n$-Lie algebras
Mathematical Physics
2016-08-03 v1 math.MP
Representation Theory
Abstract
In this paper, we study -order deformations of an -Lie algebra and introduce the notion of a Nijenhuis operator on an -Lie algebra, which could give rise to trivial deformations. We prove that a polynomial of a Nijenhuis operator is still a Nijenhuis operator. Finally, we give various constructions of Nijenhuis operators and some examples.
Keywords
Cite
@article{arxiv.1601.02356,
title = {Nijenhuis operators on $n$-Lie algebras},
author = {Jiefeng Liu and Yunhe Sheng and Yanqiu Zhou and Chengming Bai},
journal= {arXiv preprint arXiv:1601.02356},
year = {2016}
}
Comments
19 pages