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

collaborators

Showing 2015Show all

4 papers · 1 filter

math.GR2015

On the fully commutative elements of type $C ~$ and faithfulness of related towers

Sadek Al Harbat

We define a tower of injections of $C ~$ -type Coxeter groups $W (C ~_{n})$ for $n \geq 1$ . We define a tower of Hecke algebras and we use the faithfulness at the Coxeter l…

math.GR2015

Tower of fully commutative elements of type $A ~$ and applications

Sadek Al Harbat

Let $W^{c} (A ~_{n})$ be the set of fully commutative elements in the affine Coxeter group $W (A ~_{n})$ of type $A ~$ . We classify the elements of $W^{c} (A ~_{n})$ …

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…

math.GR2015

Markov elements in affine Temperley-Lieb algebras

Sadek Al Harbat

We define a tower of affine Temperley-Lieb algebras of type $A_{n} ~$ and we define Markov elements in those algebras. We prove that any trace over an affine Temperley-Lieb a…

On the fully commutative elements of type C~ and faithfulness of related towers

Tower of fully commutative elements of type A~ and applications

A note on affine links

Markov elements in affine Temperley-Lieb algebras

On the fully commutative elements of type $C ~$ and faithfulness of related towers

Tower of fully commutative elements of type $A ~$ and applications