Keller admissible triples and Duflo theorem
Abstract
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 directsum type for dg algebras. As an application, we give a new concrete proof of the KontsevichDuflo theorem for finitedimensional Lie algebras.
 Publication:

arXiv eprints
 Pub Date:
 September 2021
 arXiv:
 arXiv:2109.06413
 Bibcode:
 2021arXiv210906413L
 Keywords:

 Mathematics  Quantum Algebra;
 Mathematical Physics;
 Mathematics  Algebraic Topology;
 Mathematics  Rings and Algebras;
 Mathematics  Representation Theory
 EPrint:
 37 pages. Section 3 revised substantially