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arXiv · 2510.04075

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

Mohamad N. Nasser·Nafaa Chbili
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Abstract

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 homogeneous $2$-local representations of this constructed group. Moreover, we study the irreducibility of these representations and provide clear conditions under which irreducibility holds. Our results give a structured approach to understanding this new algebraic object and its representations.

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Mohamad N. Nasser, Nafaa Chbili. 2025-10-05. Algebraic and topological aspects of the singular twin group and its representations. https://arxiv.org/abs/2510.04075

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