Negative Calabi-Yau discrete cluster categories via Nakayama representations and persistence theory
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866911110360203264 |
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| author | Franchini, Sofia |
| author_facet | Franchini, Sofia |
| contents | We introduce infinite discrete versions of the symmetric Nakayama representations by using techniques of persistence theory. After stabilising, we obtain a family triangulated categories which can be regarded as negative Calabi-Yau versions of the Igusa-Todorov discrete cluster categories of type A. We describe their geometric model and AR theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_13137 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Negative Calabi-Yau discrete cluster categories via Nakayama representations and persistence theory Franchini, Sofia Representation Theory 05E10, 18G65, 18G80, 16G20 We introduce infinite discrete versions of the symmetric Nakayama representations by using techniques of persistence theory. After stabilising, we obtain a family triangulated categories which can be regarded as negative Calabi-Yau versions of the Igusa-Todorov discrete cluster categories of type A. We describe their geometric model and AR theory. |
| title | Negative Calabi-Yau discrete cluster categories via Nakayama representations and persistence theory |
| topic | Representation Theory 05E10, 18G65, 18G80, 16G20 |
| url | https://arxiv.org/abs/2508.13137 |