M. N. Nasser

activity

20202025

collaborators

3 papers

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.RT2021

On The Faithfulness of the extension of Lawrence-Krammer representation of the group of conjugating automorphisms C_3

Mohamad N. Nasser, Mohammad N. Abdulrahim

Let $C_{n}$ be the group of conjugating automorphisms. We study the representation $ρ$ of $C_{n}$ , an extension of Lawrence-Krammer representation of the braid group $B_{n}$ , defined by…

math.GR2020

On the irreducibility of the extensions of Burau and Gassner representations

Mohamad N. Nasser, Mohammad N. Abdulrahim

We study the $n$ th degree representations $ρ_{G}^$ of $C b_{n}$ and $ρ_{B}^$ of $C_{n}$ , defined by Valerij G. Bardakov, where $C b_{n}$ is the group of basis conjugating autom…