A geometric model for the module category of a string algebra
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866916157069459456 |
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| author | Baur, Karin Simoes, Raquel Coelho |
| author_facet | Baur, Karin Simoes, Raquel Coelho |
| contents | In this paper, we give a geometric construction of string algebras and of their module categories. Our approach uses dissections of punctured Riemann surfaces with extra data at marked points, called labels. As an application, we give a classification of support tau-tilting modules in terms of arcs in such a tiled surface. In the case when the string algebra is gentle, we recover the classification given arXiv:2004.11136. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_07810 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A geometric model for the module category of a string algebra Baur, Karin Simoes, Raquel Coelho Representation Theory Rings and Algebras 16G20 (primary), 16G70, 05E10, 05C10 (secondary) In this paper, we give a geometric construction of string algebras and of their module categories. Our approach uses dissections of punctured Riemann surfaces with extra data at marked points, called labels. As an application, we give a classification of support tau-tilting modules in terms of arcs in such a tiled surface. In the case when the string algebra is gentle, we recover the classification given arXiv:2004.11136. |
| title | A geometric model for the module category of a string algebra |
| topic | Representation Theory Rings and Algebras 16G20 (primary), 16G70, 05E10, 05C10 (secondary) |
| url | https://arxiv.org/abs/2403.07810 |