Exceptional versus $τ$-exceptional sequences for the Auslander algebra of $K[x]/(x^t)$
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866917274049314816 |
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| author | Kaipel, Maximilian |
| author_facet | Kaipel, Maximilian |
| contents | For $\mathcal{A}_t$, the Auslander algebra of $K[x]/(x^t)$, it is shown that every complete exceptional sequence of $\mathcal{A}_t$-modules is a complete $τ$-exceptional sequence. Moreover, it is established that the mutation of complete $τ$-exceptional sequences generalises the mutation of complete exceptional sequences in the category of $\mathcal{A}_t$-modules. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_13138 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Exceptional versus $τ$-exceptional sequences for the Auslander algebra of $K[x]/(x^t)$ Kaipel, Maximilian Representation Theory For $\mathcal{A}_t$, the Auslander algebra of $K[x]/(x^t)$, it is shown that every complete exceptional sequence of $\mathcal{A}_t$-modules is a complete $τ$-exceptional sequence. Moreover, it is established that the mutation of complete $τ$-exceptional sequences generalises the mutation of complete exceptional sequences in the category of $\mathcal{A}_t$-modules. |
| title | Exceptional versus $τ$-exceptional sequences for the Auslander algebra of $K[x]/(x^t)$ |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2602.13138 |