Algebraic and topological aspects of the singular twin group and its representations
Representation Theory
2026-02-05 v3 Group Theory
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 -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.
Keywords
Cite
@article{arxiv.2510.04075,
title = {Algebraic and topological aspects of the singular twin group and its representations},
author = {Mohamad N. Nasser and Nafaa Chbili},
journal= {arXiv preprint arXiv:2510.04075},
year = {2026}
}