3 papers
math.RT2025
On the classification and irreducibility of -local representations of the twin group
Taher I. Mayassi, Mohamad N. Nasser
We investigate the homogeneous -local representations of the twin group for all integers . A complete classification is obtained, yielding three distinct fam…
math.RT2025
Classification of Homogeneous Local Representations of the Singular Braid Monoid
Taher I. Mayassi, Mohamad N. Nasser
For a natural number , denote by the braid group on strings and by the singular braid monoid on strings. is one of the most important extensions of $…
math.GR2020
Representations of the necklace braid group {NB}}_n of dimension (n=2,3,4)
Taher I. Mayassi, Mohammad N. Abdulrahim
We consider the irreducible representations each of dimension 2 of the necklace braid group (). We then consider the tensor product of the representations…