Thick subcategories of derived categories of gentle algebras
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912234058285056 |
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| author | Page, Callum |
| author_facet | Page, Callum |
| contents | We study thick subcategories of derived categories of gentle algebras. Any thick subcategory of a derived category of a gentle algebra is generated by a set of string objects or a set of band objects. We show the thick subcategories generated by string objects are in bijection with sets of non-crossing paths on the geometric model of the derived category. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_12023 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Thick subcategories of derived categories of gentle algebras Page, Callum Representation Theory 16G20, 18G80 We study thick subcategories of derived categories of gentle algebras. Any thick subcategory of a derived category of a gentle algebra is generated by a set of string objects or a set of band objects. We show the thick subcategories generated by string objects are in bijection with sets of non-crossing paths on the geometric model of the derived category. |
| title | Thick subcategories of derived categories of gentle algebras |
| topic | Representation Theory 16G20, 18G80 |
| url | https://arxiv.org/abs/2502.12023 |