Taher I. Mayassi

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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 $…

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

Classification of Homogeneous Local Representations of the Singular Braid Monoid

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