%0 Journal Article %T Representations of hom-Lie algebras %A Yunhe Sheng %J Mathematics %D 2010 %I arXiv %R 10.1007/s10468-011-9280-8 %X In this paper, we study representations of hom-Lie algebras. In particular, the adjoint representation and the trivial representation of hom-Lie algebras are studied in detail. Derivations, deformations, central extensions and derivation extensions of hom-Lie algebras are also studied as an application. %U http://arxiv.org/abs/1005.0140v4