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This article classifies and analyzes irreducible representations of the singular twin group, highlighting algebraic and topological aspects.
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 and $3$-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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Nasser et al. (2025) studied this question.
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