Algebraic and topological aspects of the singular twin group and its representations
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866915772098412544 |
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| author | Nasser, Mohamad N. Chbili, Nafaa |
| author_facet | Nasser, Mohamad N. Chbili, Nafaa |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_04075 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Algebraic and topological aspects of the singular twin group and its representations Nasser, Mohamad N. Chbili, Nafaa Representation Theory Group Theory 20F36, 57K10 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. |
| title | Algebraic and topological aspects of the singular twin group and its representations |
| topic | Representation Theory Group Theory 20F36, 57K10 |
| url | https://arxiv.org/abs/2510.04075 |