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| Format: | Preprint |
| Veröffentlicht: |
2023
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2310.00358 |
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| _version_ | 1866916185052807168 |
|---|---|
| author | Wang, Qi |
| author_facet | Wang, Qi |
| contents | We completely determine the $τ$-tilting finiteness of Borel-Schur algebras. To achieve this, we use two recently introduced techniques in silting theory: sign decomposition as introduced by Aoki, Higashitani, Iyama, Kase and Mizuno [arXiv:2203.15213], and symmetry of silting quivers as investigated by Aihara and the author [arXiv:2205.00472]. Besides, we explore some new properties for both Borel-Schur algebra and sign decomposition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_00358 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On $τ$-tilting finite Borel-Schur algebras Wang, Qi Representation Theory We completely determine the $τ$-tilting finiteness of Borel-Schur algebras. To achieve this, we use two recently introduced techniques in silting theory: sign decomposition as introduced by Aoki, Higashitani, Iyama, Kase and Mizuno [arXiv:2203.15213], and symmetry of silting quivers as investigated by Aihara and the author [arXiv:2205.00472]. Besides, we explore some new properties for both Borel-Schur algebra and sign decomposition. |
| title | On $τ$-tilting finite Borel-Schur algebras |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2310.00358 |