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math.CO2025
Star and weak star irreducible fully commutative elements in Coxeter groups of affine types and
Riccardo Biagioli, Luca Costantini, Elisa Sasso
The star operation, originally introduced by Kazhdan and Lusztig, was later specialized by Ernst to the so-called weak star reduction on the set of fully commutative elements of a…
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…