Mutation of τ-exceptional pairs and sequences
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910333830955008 |
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| author | Buan, Aslak B. Hanson, Eric J. Marsh, Bethany R. |
| author_facet | Buan, Aslak B. Hanson, Eric J. Marsh, Bethany R. |
| contents | We introduce a notion of mutation for $τ$-exceptional sequences of modules over arbitrary finite dimensional algebras. For hereditary algebras, we show that this coincides with the classical mutation of exceptional sequences. For rank two algebras, we show that mutation of $τ$-exceptional sequences is transitive if and only if mutation of support $τ$-tilting modules in the sense of Adachi-Iyama-Reiten is transitive. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_10301 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Mutation of τ-exceptional pairs and sequences Buan, Aslak B. Hanson, Eric J. Marsh, Bethany R. Representation Theory 16D90, 16G10, 16G20, 16S90 We introduce a notion of mutation for $τ$-exceptional sequences of modules over arbitrary finite dimensional algebras. For hereditary algebras, we show that this coincides with the classical mutation of exceptional sequences. For rank two algebras, we show that mutation of $τ$-exceptional sequences is transitive if and only if mutation of support $τ$-tilting modules in the sense of Adachi-Iyama-Reiten is transitive. |
| title | Mutation of τ-exceptional pairs and sequences |
| topic | Representation Theory 16D90, 16G10, 16G20, 16S90 |
| url | https://arxiv.org/abs/2402.10301 |