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math.CO2024
Diagram Calculus for the Affine Temperley--Lieb Algebra of Type
Riccardo Biagioli, Giuliana Fatabbi, Elisa Sasso
Let (W,S) be a Coxeter system of affine type D, and let TL(W) the corresponding generalized Temperley-Lieb algebra. In this extended abstract we define an infinite dimensional asso…
math.CO2022
Heaps reduction, decorated diagrams, and the affine Temperley-Lieb algebra of type
Riccardo Biagioli, Gabriele Calussi, Giuliana Fatabbi
In this paper we propose a combinatorial framework to study a diagrammatic representation of the affine Temperley-Lieb algebra of type C introduced by Ernst. In doing this, we defi…