Séminaires : Séminaire CCCP - Théorie des Représentations

Equipe(s) :
Responsables :J.-Y. Charbonnel, E. Letellier, R. Rentschler, S. Riche, M. Varagnolo
Email des responsables : Jean-Yves Charbonnel <jyc@math.jussieu.fr>, Emmanuel Letellier <emmanuel.letellier@math.unicaen.fr>, Rudolf Rentschler <rent@math.jussieu.fr>, Simon Riche <simon.riche@math.univ-bpclermont.fr>, Michela Varagnolo <varagnol@math.u-cergy.fr>
Salle : 175 rue du Chevaleret - 75013 Paris
Adresse :
Description

 


 

Orateur(s) Azat Gainutdinov - University of Hamburg,
Titre From affine Temperley-Lieb algebras at roots of unity to highest-weight categories of Virasoro algebra modules.
Date06/02/2015
Horaire11:00 à 12:30
Diffusion
RésumeTemperley-Lieb algebras of finite/affine type are rank-one quotients of the finite/affine Hecke algebras and known in the theory of invariants as Schur-Weyl duals to the Lusztig's specialization of the (affine) quantum algebra for sl(2). In the talk, I will present an explicit inductive system construction for finite TL algebras at a root of unity that gives the Virasoro in the limit. On the abstract grounds, I will also discuss my recent result on a connection between representation theory of affine (and finite) TL algebras at all roots of unity cases and the Virasoro algebra at critical values of central charge.
Salle175 rue du Chevaleret - 75013 Paris
Adresse
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