Orateur(s) | Azat GAINUTDINOV - University of Hamburg,
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Titre | From affine Temperley-Lieb algebras at roots of unity to highest-weight categories of Virasoro algebra modules. |
Date | 06/02/2015 |
Horaire | 11:00 à 12:00 |
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Diffusion | |
Résume | Temperley-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. |
Salle | 175 rue du Chevaleret - 75013 Paris |
Adresse | |