Semilinear clannish algebras arising from surfaces with orbifold points
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866917977940557824 |
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| author | Bennett-Tennenhaus, Raphael Labardini-Fragoso, Daniel |
| author_facet | Bennett-Tennenhaus, Raphael Labardini-Fragoso, Daniel |
| contents | Semilinear clannish algebras have been recently introduced by the first author and Crawley-Boevey as a generalization of Crawley-Boevey's clannish algebras. In the present paper, we associate semilinear clannish algebras to the (colored) triangulations of a surface with marked points and orbifold points, and exhibit a Morita equivalence between these algebras and the Jacobian algebras constructed a few years ago by Geuenich and the second author. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_05326 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Semilinear clannish algebras arising from surfaces with orbifold points Bennett-Tennenhaus, Raphael Labardini-Fragoso, Daniel Rings and Algebras Representation Theory 16G20, 16S35, 13F60 Semilinear clannish algebras have been recently introduced by the first author and Crawley-Boevey as a generalization of Crawley-Boevey's clannish algebras. In the present paper, we associate semilinear clannish algebras to the (colored) triangulations of a surface with marked points and orbifold points, and exhibit a Morita equivalence between these algebras and the Jacobian algebras constructed a few years ago by Geuenich and the second author. |
| title | Semilinear clannish algebras arising from surfaces with orbifold points |
| topic | Rings and Algebras Representation Theory 16G20, 16S35, 13F60 |
| url | https://arxiv.org/abs/2303.05326 |