Sommaire:

Temperley-Lieb algebras are rank-one quotients of the famous Hecke algebras and known in the theory of invariants as the Schur-Weyl duals to the Lusztig's specialization of the quantum group U_q sl(2). The TL algebras appear in a transfer-matrix formulation of statistical lattice models, like XXZ and super-symmetric spin-chains. At q roots of unity, the lattice models enjoy an interesting property that taking the continuum limit gives a logarithmic conformal field theory, which is a non-rational CFT based on non-semisimple Virasoro representations. Taking these limits in a rigorous way is usually poorly understood. 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 finite TL algebras and the deformed Virasoro algebra at roots of unity cases.

Pour plus d'informations, merci de contacter Alexandrov S.