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) Vyjayanthi CHARI - Riverside,
Titre Tensor products and character formulae for HL-modules and monoidal categorification (Projet ERC QAffine)
Horaire14:00 à 15:00
RésumeIn 2009 Hernandez and Leclerc introduced certain tensor subcategories of representation of quantum affine algebras associated with a height function. Under certain conditions on htis function they proved that the corresponding Grothendieck ring admitted the structure of a cluster algebra. In this talk we shall discuss the problem for a general height function in type A and derive character formulae for the prime objects (cluster variables) in the category and also the tensor product rules (exchange relations) for these objects. Finally we shall discuss a resolution of the prime objects in terms of Weyl (standard) modules. The talk is based on joint work with Matheus Brito.