Keller admissible triples and Duflo theorem

Autor:	Liao, Hsuan-Yi, Seol, Seokbong
Rok vydání:	2021
Předmět:	Mathematics - Quantum Algebra Mathematical Physics Mathematics - Algebraic Topology Mathematics - Rings and Algebras Mathematics - Representation Theory
Zdroj:	J. Math. Pures Appl. (9) 174 (2023)
Druh dokumentu:	Working Paper
DOI:	10.1016/j.matpur.2023.02.003
Popis:	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. Comment: 37 pages. Updated references. Fix typos. To appear in Journal de Math\'ematiques Pures et Appliqu\'ees
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2109.06413 Zobrazit plný text záznamu View this record from Arxiv