Diagrammatic representations of Generalized Temperley-Lieb algebras of affine type $\tilde{B}$ and $\tilde{D}$

Riccardo Biagioli, Giuliana Fatabbi, Elisa Sasso

Let $(W,S)$ be an affine Coxeter system of type $\tilde{B}$ or $\tilde{D}$ and $\mathrm{TL}(W)$ the corresponding generalized Temperley-Lieb algebra. In this paper we define a…