Sadek Al Harbat

activity

20152020

collaborators

4 papers

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…

math.GR2018

On fully commutative elements of type $B ~$ and $D ~$

Sadek AL Harbat

We define a tower of injections of $B ~$ -type (resp. $D ~$ -type) Coxeter groups $W (B ~_{n})$ (resp. $W (D ~_{n})$ ) for $n \geq 3$ . Let $W^{c} (B ~_{n})$ (resp…

math.GR2015

A note on affine links

Sadek Al Harbat

We view the $A ~$ -type affine braid group as a subgroup of the $B$ -type braid group. We show that the $A ~$ -type affine braid group surjects onto the $A$ -type braid gro…

Poincaré polynomial for fully commutative elements in the symmetric group

Type C~ Temperley-Lieb algebra quotients and Catalan combinatorics

On fully commutative elements of type B~ and D~

A note on affine links

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

On fully commutative elements of type $B ~$ and $D ~$