Keller admissible triples and Duflo theorem

Hsuan-Yi Liao; Seokbong Seol

doi:10.1016/j.matpur.2023.02.003

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arXiv · 2109.06413

Keller admissible triples and Duflo theorem

Hsuan-Yi Liao·Seokbong Seol

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Abstract

The present paper is devoted to the study of Keller admissible triples. We prove that a Keller admissible triple induces an isomorphism of Gerstenhaber algebras between the Hochschild cohomologies of direct-sum type of the pair of differential graded algebras bound to one another by the admissible triple. As an application, we give a new concrete proof of the Duflo--Kontsevich theorem for finite-dimensional Lie algebras.

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BibTeX RIS

Hsuan-Yi Liao, Seokbong Seol. 2021-09-14. Keller admissible triples and Duflo theorem. https://doi.org/10.1016/j.matpur.2023.02.003

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