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 / remote
Adresse :IHP

Depuis le 23 mars 2020, le séminaire se tient à distance. Pour les liens et mots de passe, merci de contacter l'un des organisateurs ou de souscrire à la liste de diffusion https://listes.math.cnrs.fr/wws/info/paris-algebra-seminar. L'information nécessaire sera envoyée par courrier électronique peu avant chaque exposé. Les notes et transparents sont disponibles ici.


Since March 23, 2020, the seminar has been taking place remotely. For the links and passwords, please contact one of the organizers or

subscribe to the mailing list at https://listes.math.cnrs.fr/wws/info/paris-algebra-seminar. The connexion information will be emailed shortly before each talk. Slides and notes are available here.


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.
Salleà distance / remote