3 papers
math.GT2026
Presentations and Representations of the Multi-Virtual Twin Group and Associated Subgroups
Vaibhav Keshari, Taher I. Mayassi, Madeti Prabhakar +1
Motivated by the notion of the multi-virtual braid group introduced by L. Kauffman and by the study of extensions of the well-known twin group T_n, n >= 2, we introduce a new group…
math.RT2025
On the classification and irreducibility of -local representations of the twin group
Taher I. Mayassi, Mohamad N. Nasser
We investigate the homogeneous -local representations of the twin group for all integers . 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 , denote by the braid group on strings and by the singular braid monoid on strings. is one of the most important extensions of $…