290 citations · 1.2k across the 89 of their papers we have counts for
Showing 2014Show all
3 papers · 1 filter
math-ph2014
On hom-Lie algebras
Yunhe Sheng, Zhen Xiong
In this paper, first we show that $(\g,[\cdot,\cdot],α)$ is a hom-Lie algebra if and only if $(Λ\g^*,α^*,d)$ is an -differential graded commutative algebra. Then, we rev…
math.RT2014★ 1 cited
Remarks on Leibniz algebras
Yunhe Sheng, Zhangju Liu
In this paper, first we construct a Lie 2-algebra associated to every Leibniz algebra via the skew-symmetrization. Furthermore, we introduce the notion of the naive representation…
math-ph2014★ 10 cited
Categorification of Pre-Lie Algebras and Solutions of 2-graded Classical Yang-Baxter Equations
Yunhe Sheng
In this paper, we introduce the notion of a pre-Lie 2-algebra, which is a categorification of a pre-Lie algebra. We prove that the category of pre-Lie 2-algebras and the category o…