Keller admissible triples and Duflo theorem

This paper is devoted to the study of Keller admissible triples. We prove that a Keller admissible triple induces an isomorphism of Gerstenhaber algebras between Hochschild cohomologies of the direct-sum type for dg algebras. As an application, we give an alternative proof of the Kontsevich-Duflo theorem for finite-dimensional Lie algebras.