Taher I. Mayassi

activity

20202026

collaborators

5 papers

math.GT2026

Presentations and Representations of the Multi-Virtual Twin Group and Associated Subgroups

Vaibhav Keshari, Taher I. Mayassi, Madeti Prabhakar +1

Motivated by the notion of the multi-virtual braid group introduced by L. Kauffman and by the study of extensions of the well-known twin group T_n, n >= 2, we introduce a new group…

math.RT2025

On the classification and irreducibility of $2$ -local representations of the twin group $T_{n}$

Taher I. Mayassi, Mohamad N. Nasser

We investigate the homogeneous $2$ -local representations of the twin group $T_{n}$ for all integers $n ⩾ 2$ . 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 $n$ , denote by $B_{n}$ the braid group on $n$ strings and by $S M_{n}$ the singular braid monoid on $n$ strings. $S M_{n}$ is one of the most important extensions of $…

math.GR2023

Irreducible representations of the braid group $B_{3}$ in dimension 6

Taher I. Mayassi, Mohammad N. Abdulrahim

We use $q$ -Pascal's triangle to define a family of representations of dimension 6 of the braid group $B_{3}$ on three strings. Then we give a necessary and sufficient condition for t…

math.GR2020

Representations of the necklace braid group {NB}}_n of dimension (n=2,3,4)