Mohamad N. Nasser

collaborators

3 papers

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

On extensions of the standard representation of the braid group to the singular braid group

Mohamad N. Nasser

For an integer $n \geq 2$ , set $B_{n}$ to be the braid group on $n$ strands and $S B_{n}$ to be the singular braid group on $n$ strands. $S B_{n}$ is one of the important group extensions…

math.RT2023

The faithfulness of an extension of Lawrence-Krammer representation on the group of conjugating automorphisms $C_{n}$ in the cases $n = 3$ and $n = 4$

Mohamad N. Nasser

Let $C_{n}$ be the group of conjugating automorphisms. Valerij G. Bardakov defined a representation $ρ$ of $C_{n}$ , which is an extension of Lawrence-Krammer representation of the brai…

On the classification and irreducibility of 2-local representations of the twin group Tn​

On extensions of the standard representation of the braid group to the singular braid group

The faithfulness of an extension of Lawrence-Krammer representation on the group of conjugating automorphisms Cn​ in the cases n=3 and n=4

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

The faithfulness of an extension of Lawrence-Krammer representation on the group of conjugating automorphisms $C_{n}$ in the cases $n = 3$ and $n = 4$