Keller admissible triples and Duflo theorem
Quantum Algebra
2023-11-08 v3 Mathematical Physics
Algebraic Topology
math.MP
Rings and Algebras
Representation Theory
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.
Cite
@article{arxiv.2109.06413,
title = {Keller admissible triples and Duflo theorem},
author = {Hsuan-Yi Liao and Seokbong Seol},
journal= {arXiv preprint arXiv:2109.06413},
year = {2023}
}
Comments
37 pages. Updated references. Fix typos. To appear in Journal de Math\'ematiques Pures et Appliqu\'ees