Nijenhuis operators on $n$-Lie algebras
  In this paper, we study $(n-1)$-order deformations of an $n$-Lie algebra and introduce the notion of a Nijenhuis operator on an $n$-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. 
Jiefeng Liu, Yunhe Sheng, Yanqiu Zhou, Chengming Bai
math-ph math.MP math.RT