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math.RT2026
On representations of the triplet group and some of its extensions
Mohamad N. Nasser, Nafaa Chbili, Khaled Qazaqzeh
In this paper, we study the representations of the triplet group , where is a positive integer, together with their extensions to the virtual and welded triplet groups $VL…
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…