3 citations · 3 across the 5 of their papers we have counts for
5 papers
Skew-Hom-Lie algebras in Semi-Euclidean spaces
Zhen Xiong
In this paper, first we introduce the notion of a skew-Hom-Lie algebra and give some examples. Then we study their representations and give the coboundary operator of skew-Hom-Lie…
Hom-Lie groups of a class of Hom-Lie algebra
Zhen Xiong
In this paper, the definition of Hom-Lie groups is given and one conntected component of Lie group , which is not a subgroup of , is a Hom-Lie group. More, we proved…
Equivalent description of Hom-Lie algebroids
Zhen Xiong
In this paper, we study representations of Hom-Lie algebroids, give some properties of Hom-Lie algebroids and discuss equivalent statements of Hom-Lie algebroids. Then, we prove th…
A complement on representations of Hom-Lie algebras
Zhen Xiong
In this paper, we give a new series of coboundary operators of Hom-Lie algebras. And prove that cohomology groups with respect to coboundary operators are isomorphic. Then, we revi…
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…