M. N. Nasser

activity

20202026

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10 papers · 1 filter

math.RT2025

Insights on the homogeneous $3$ -local representations of the twin groups

Mohamad N. Nasser

We provide a complete classification of the homogeneous $3$ -local representations of the twin group $T_{n}$ , the virtual twin group $V T_{n}$ , and the welded twin group $W T_{n}$ , for all…

math.RT2025

Algebraic and topological aspects of the singular twin group and its representations

Mohamad N. Nasser, Nafaa Chbili

In this article, we introduce the singular twin monoid and its corresponding group, constructed from both algebraic and topological perspectives. We then classify all complex homog…

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 representations of the multi-virtual braid group $M_{k} V B_{n}$ and the multi-welded braid group $M_{k} W B_{n}$

Vaibhav Keshari, Mohamad N. Nasser, Madeti Prabhakar

This paper classifies complex homogeneous $2$ -local representations of the multiple virtual braid group $M_{k} V B_{n}$ into $GL_{n} (C)$ for $n \geq 3$ and $k > 1$ , showing…

math.RT2025

On the irreducibility of singular braid group representations

Mohamad N. Nasser

In this article, we investigate the irreducibility of representations of the singular braid group on $n$ strands, denoted by $S B_{n}$ . We first show that all representations $ρ: SB_2…

math.RT2025

Twin groups representations

Mohamad N. Nasser

We construct two representations of the twin group $T_{n}, n \geq 2$ , namely $η_{1} : T_{n} \to Aut (F_{n})$ and $η_2: T_n \rightarrow \text{GL}_n(\mathbb{Z}[t^{\pm 1}…

Insights on the homogeneous 3-local representations of the twin groups

Algebraic and topological aspects of the singular twin group and its representations

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

On representations of the multi-virtual braid group Mk​VBn​ and the multi-welded braid group Mk​WBn​

On the irreducibility of singular braid group representations

Twin groups representations

Insights on the homogeneous $3$ -local representations of the twin groups

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

On representations of the multi-virtual braid group $M_{k} V B_{n}$ and the multi-welded braid group $M_{k} W B_{n}$