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
Description

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) Natasha ROZHKOVSKAYA - Kansas,
Titre Construction of vertex operators from Jacobi-Trudi identities
Date01/06/2015
Horaire14:00 à 15:00
Diffusion
RésumeThe action of algebra of fermions on the Fock space allows to construct the action on the same space of other interesting algebras, such as Heisenberg algebra, Virasoro algebra and $gl_\infty$. Boson-fermion correspondence allows to identify Fock space with boson space as modules over Heiseinberg algebra, and describes the action of algebra of fermions in terms of vertex operators (generating functions). One can notice that in this construction the crucial role is played by a property that is equivalent to the Jacobi-Trudi identity for symmetric functions. In this talk we will review the classical construction and will discuss, how more general identity can be used to construct the action algebra of fermions. This will be illustrated with examples that naturally appear in representation theory and in generalizations of symmetric functions.
Salleà distance / remote
AdresseIHP
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