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) Ryo FUJITA - Kyoto,
Titre Affine highest weight categories and quantum affine Schur-Weyl duality of Dynkin quiver types (Projet ERC QAffine)
Horaire14:00 à 15:00
RésumeThe notion of affine highest weight category introduced by Kleshchev is an ``affine'' generalization of the notion of highest weight category and axiomatizes certain homological structures of some non-semisimple abelian categories of Lie theoretic origin. By comparing such structures, we can see that Kang-Kashiwara-Kim's generalized quantum affine Schur-Weyl duality functor associated to each Dynkin quiver $Q$ gives an equivalence of monoidal categories between the module category of the corresponding quiver Hecke algebra and Hernandez-Leclerc's monoidal subcategory $C_Q$ inside the module category of the quantum loop algebra.