Sadek Al Harbat

activity

20132025

most citedMarkov trace on a tower of affine Temperley-Lieb algebras of type

A_{n} ~

2 citations · 3 across the 12 of their papers we have counts for

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3 papers · 1 filter

math.CO2023

Catalan numbers: from FC elements to classical diagram algebras

Sadek Al Harbat

Let $W^{c} (A_{n})$ be the set of fully commutative elements in the $A_{n}$ -type Coxeter group. Using only the settings of their canonical form, we recount $W^{c} (A_{n})$ by the recurrence th…

math.CO2020

Poincaré polynomial for fully commutative elements in the symmetric group

Sadek AL Harbat, Corinne Blondel

Let $W^{c} (A_{n})$ be the set of fully commutative elements of the Coxeter group $W (A_{n})$ . Let $a_{n} (q) = w \in W^{c} (A_{n}) \sum q^{l (w)} .$ We compute $a_{n} (q)$ .

math.CO2019

Type $C ~$ Temperley-Lieb algebra quotients and Catalan combinatorics

Sadek Al Harbat, Camilo González, David Plaza

We study some algebraic and combinatorial features of two algebras that arise as quotients of Temperley-Lieb algebras of type $C ~$ , namely, the two-boundary Temperley-Lieb a…

Catalan numbers: from FC elements to classical diagram algebras

Poincaré polynomial for fully commutative elements in the symmetric group

Type C~ Temperley-Lieb algebra quotients and Catalan combinatorics

Type $C ~$ Temperley-Lieb algebra quotients and Catalan combinatorics