M. N. Nasser

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20202025

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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…