Séminaires : Séminaire d'Algèbre

Equipe(s) : gr,
Responsables :J. Alev, D. Hernandez, B. Keller, Th. Levasseur, et S. Morier-Genoud.
Email des responsables : Jacques Alev <jacques.alev@univ-reims.fr>, David Hernandez <david.hernandez@imj-prg.fr>, Bernhard Keller <bernhard.keller@imj-prg.fr>, Thierry Levasseur <Thierry.Levasseur@univ-brest.fr>, Sophie Morier-Genoud <sophie.morier-genoud@imj-prg.fr>
Salle : 001
Adresse :IHP


Orateur(s) Slava FUTORNY - São Paulo,
Titre Gelfand-Tsetlin modules over Galois algebras
Horaire14:30 à 15:30
RésumeThe talk is based on joint results with S. Ovsienko. We will discuss Gelfand-Tsetlin modules for a class of Galois algebras which are certain invariant subalgebras in skew group rings. In particular, examples of the universal enveloping algebra of $\mathfrak{gl}(n)$ and finite $W$-algebras of type $A$ will be considered. As an application, we obtain an analog of the Gelfand-Kirillov conjecture for above mentioned algebras.