Classification of silted algebras for two quivers of Dynkin type $\mathbb{A}_{n}$
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912338000478208 |
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| author | Xie, Zongzhen Yang, Dong Zhang, Houjun |
| author_facet | Xie, Zongzhen Yang, Dong Zhang, Houjun |
| contents | In this paper, we give a complete classification of silted algebras for the quiver $\overrightarrow{\mathbb{A}}_{n}$ of type $\mathbb{A}_{n}$ with linear orientation and for the quiver obtained from $\overrightarrow{\mathbb{A}}_{n}$ by reversing the arrow at the unique source. Based on the classification, we also compute the number of silted algebras for these two quivers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_14789 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Classification of silted algebras for two quivers of Dynkin type $\mathbb{A}_{n}$ Xie, Zongzhen Yang, Dong Zhang, Houjun Representation Theory Combinatorics 2-term silting complex, silted algebra, rooted quiver with relation, tilted algebra, shod algebra In this paper, we give a complete classification of silted algebras for the quiver $\overrightarrow{\mathbb{A}}_{n}$ of type $\mathbb{A}_{n}$ with linear orientation and for the quiver obtained from $\overrightarrow{\mathbb{A}}_{n}$ by reversing the arrow at the unique source. Based on the classification, we also compute the number of silted algebras for these two quivers. |
| title | Classification of silted algebras for two quivers of Dynkin type $\mathbb{A}_{n}$ |
| topic | Representation Theory Combinatorics 2-term silting complex, silted algebra, rooted quiver with relation, tilted algebra, shod algebra |
| url | https://arxiv.org/abs/2504.14789 |