An explicit description of the colored mutation class of $\widetilde{\mathbb{A}}_n$-quivers
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866909974761832448 |
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| author | Gubitosi, Viviana Rosero, Pablo |
| author_facet | Gubitosi, Viviana Rosero, Pablo |
| contents | This paper addresses the combinatorial structure of $m$-colored mutation classes. We provide an explicit and purely combinatorial description of the $m$-colored quivers that arise within the $m$-colored mutation class of a quiver of type $\mathbb{\widetilde{A}}$. Our results generalize and extend existing work, specifically recovering a description by Bastian [1] when the case $m=1$ is considered. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_20450 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An explicit description of the colored mutation class of $\widetilde{\mathbb{A}}_n$-quivers Gubitosi, Viviana Rosero, Pablo Combinatorics Representation Theory 13F60, 16G20, 05E15 This paper addresses the combinatorial structure of $m$-colored mutation classes. We provide an explicit and purely combinatorial description of the $m$-colored quivers that arise within the $m$-colored mutation class of a quiver of type $\mathbb{\widetilde{A}}$. Our results generalize and extend existing work, specifically recovering a description by Bastian [1] when the case $m=1$ is considered. |
| title | An explicit description of the colored mutation class of $\widetilde{\mathbb{A}}_n$-quivers |
| topic | Combinatorics Representation Theory 13F60, 16G20, 05E15 |
| url | https://arxiv.org/abs/2512.20450 |