There are no strictly shod algebras in hereditary gentle algebras
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
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| _version_ | 1866912014816772096 |
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| author | Zhang, Houjun Liu, Yu-Zhe |
| author_facet | Zhang, Houjun Liu, Yu-Zhe |
| contents | We prove that there are no strictly shod algebras in hereditary gentle algebras by geometric models. As an application, we give a classification of the silted algebras for Dynkin type $\mathbb{A}_{n}$ and $\widetilde{\mathbb{A}}_{n}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_09105 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | There are no strictly shod algebras in hereditary gentle algebras Zhang, Houjun Liu, Yu-Zhe Representation Theory 05E10, 16G10, 16E45 We prove that there are no strictly shod algebras in hereditary gentle algebras by geometric models. As an application, we give a classification of the silted algebras for Dynkin type $\mathbb{A}_{n}$ and $\widetilde{\mathbb{A}}_{n}$. |
| title | There are no strictly shod algebras in hereditary gentle algebras |
| topic | Representation Theory 05E10, 16G10, 16E45 |
| url | https://arxiv.org/abs/2212.09105 |