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) Maxim NAZAROV - ,
Titre Representations of Yangians via Howe duality
Horaire14:00 à 15:00
RésumeYangians and their twisted analogues first appeared as basic examples of affine quantum groups and affine symmetric spaces, and found numerous applications as Quantum Integrable Systems. More recently, they made a remarkable appearance in the theory of finite W-algebras. Classification of the irreducible finite-dimensional representations of these Yangians has been known for a long time, but explicit realisations of these representatitions were not known except in special cases. In this talk, it will be explained how to realise all these representations as quotients in tensor products of ``basic'' representations, by using the theory of Mickelsson algebras along with the Howe duality.