Talk: Fusion products and finite-dimensional quotients for periodic Temperley-Lieb algebras

9 Feb 2023, 17:10
55m
SRS

SRS

Hotel Les Sources Chemin du Vernex 9 1865 Les Diablerets Switzerland

Speaker

Dr Alexi Morin-Duchesne (Ghent University)

Description

In this talk, I will report on recent developments in the study of periodic Temperley-Lieb algebras and their applications in physics. I will first discuss ongoing progress done in collaboration with Y. Ikhlef in defining fusion products for representations of these algebras, that reproduce the expected fusion rules in conformal field theory. I will also describe joint work with A. Langlois-Rémillard on the study of finite-dimensional quotients for these algebras and the construction of their Wenzl-Jones projectors.

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