# Séminaires : Séminaire Groupes, Représentations et Géométrie

 Equipe(s) : gr, Responsables : A. Brochier, O. Brunat, J.-Y. Charbonnel, O. Dudas, E. Letellier, D. Juteau, M. Varagnolo, E. Vasserot Email des responsables : Adrien Brochier , Olivier Brunat , Jean-Yves Charbonnel , Olivier Dudas , Emmanuel Letellier , Daniel Juteau , Michela Varagnolo , Eric Vasserot Salle : salle 2015, 2em étage, Adresse : Sophie Germain Description

 Orateur(s) Andrea APPEL - The University of Edinburgh, Titre The isomorphism between classical and quantum $sl(n)$ Date 20/10/2017 Horaire 10:30 à 11:30 Résume It is well known that the universal enveloping algebra of a semisimple Lie algebra admits no non-trivial deformations as an algebra. In particular, by a cohomological argument, there exists a (non-explicit) isomorphism between the enveloping algebra and the corresponding quantum group. An explicit description of such isomorphism was known only for $sl(2)$. In this talk, we describe an explicit isomorphism between classical and quantum $sl(n)$ for any n, which relies on an apparently new realisation of the evaluation homomorphism of the Yangian of $sl(n)$. This is a joint work with S. Gautam. Salle salle 2015, 2em étage, Adresse Sophie Germain