# Keller admissible triples and Duflo theorem

@inproceedings{Liao2021KellerAT, title={Keller admissible triples and Duflo theorem}, author={Hsuan-Yi Liao and Seok-Kyun Seol}, year={2021} }

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 a new concrete proof of the Kontsevich–Duflo theorem for finite-dimensional Lie algebras.

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