McKay quivers of small finite subgroups of $GL(2,\mathbb{C})$
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866918108132802560 |
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| author | Cisneros-Molina, José Luis Tosun, Meral |
| author_facet | Cisneros-Molina, José Luis Tosun, Meral |
| contents | We explicitly compute the McKay quivers of small finite subgroups of $GL(2,\mathbb{C})$ relative to the natural representation, using character theory and the McKay quivers of finite subgroups of $SU(2)$. We present examples that shows the rich symmetry and combinatorial structure of these quivers. We compare our results with the MacKay quivers computed by Auslander and Reiten. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_23171 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | McKay quivers of small finite subgroups of $GL(2,\mathbb{C})$ Cisneros-Molina, José Luis Tosun, Meral Representation Theory Combinatorics Group Theory 14E16, 16G70 We explicitly compute the McKay quivers of small finite subgroups of $GL(2,\mathbb{C})$ relative to the natural representation, using character theory and the McKay quivers of finite subgroups of $SU(2)$. We present examples that shows the rich symmetry and combinatorial structure of these quivers. We compare our results with the MacKay quivers computed by Auslander and Reiten. |
| title | McKay quivers of small finite subgroups of $GL(2,\mathbb{C})$ |
| topic | Representation Theory Combinatorics Group Theory 14E16, 16G70 |
| url | https://arxiv.org/abs/2507.23171 |