Examples of tilting-discrete symmetric algebras
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866909895413989376 |
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| author | Aihara, Takuma |
| author_facet | Aihara, Takuma |
| contents | We give several examples of tilting-discrete symmetric algebras; in particular, one explores which algebra has tilting-discrete trivial extension. We provide a counter example of the conjecture stating any τ -tilting finite symmetric algebra is tiltingdiscrete. Also, we discuss the tilting-disconnectedness of symmetric algebras and give new examples of tilting-disconnected symmetric algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_06695 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Examples of tilting-discrete symmetric algebras Aihara, Takuma Representation Theory Rings and Algebras We give several examples of tilting-discrete symmetric algebras; in particular, one explores which algebra has tilting-discrete trivial extension. We provide a counter example of the conjecture stating any τ -tilting finite symmetric algebra is tiltingdiscrete. Also, we discuss the tilting-disconnectedness of symmetric algebras and give new examples of tilting-disconnected symmetric algebras. |
| title | Examples of tilting-discrete symmetric algebras |
| topic | Representation Theory Rings and Algebras |
| url | https://arxiv.org/abs/2511.06695 |