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) Martina LANINI - Edimbourg,
Titre The Steinberg-Lusztig tensor product theorem for abstract Fock space (Projet ERC QAffine)
Horaire14:00 à 15:00
RésumeThe abstract Fock space, constructed in joint work with A.Ram and P.Sobaje, is a combinatorial gadget which generalises Lecler-Thibon's realisation of the classical Fock Space to any type, and encodes decomposition numbers for quantum groups at roots of unity. In this talk I will discuss joint work with Arun Ram, in which we establish the analogue of the Steinberg-Lusztig Tensor product Theorem for abstract Fock space. This result has several consequences, such as a new proof of the Casselman-Shalika formula, and a character formula for a certain class of modules for affine Kac-Moody algebras at a negative level.
Salleà distance