摘要：The aim of this paper is to study representations of 3-dimensional simple multiplicative Hom-Lie algebras (g; [⋅, ⋅]; 𝛼) (whose
structure is of 𝐴1-type). In this paper we can see that a finite dimensional representation of (g; [⋅, ⋅]; 𝛼) is not always completely
reducible, and a representation of (g; [⋅, ⋅]; 𝛼) is irreducible if and only if it is a regular Lie-type representation.
