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 : à distance
Adresse :IHP


Orateur(s) Benjamin WILSON - Institut de Mathématiques de Luminy,
Titre A character formula for Chari's category $\widetilde{\mathcal{O}}$
Horaire14:30 à 15:30
RésumeOne may construct, for any function on the integers, an irreducible module of level zero for affine $sl(2)$ using the values of the function as structure constants. The modules constructed using exponential polynomial functions realize the irreducible modules with finite-dimensional weight spaces in the category $\tilde{O}$ of Chari. In this work, an expression for the formal character of such a module is derived using the highest weight theory of truncations of the loop algebra.
Salleà distance