Classifying Nakayama algebras with a braid group action on $τ$-exceptional sequences
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866917186986049536 |
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| author | Kaipel, Maximilian Terland, Håvard Utne |
| author_facet | Kaipel, Maximilian Terland, Håvard Utne |
| contents | We characterise those basic and connected Nakayama algebras $Λ$ for which the mutation of $τ$-exceptional sequences respects the braid group relations. We show that this is the case if and only if $Λ$ is hereditary or all indecomposable projective $Λ$-modules have length at least $|Λ|$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_07608 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Classifying Nakayama algebras with a braid group action on $τ$-exceptional sequences Kaipel, Maximilian Terland, Håvard Utne Representation Theory 16G20, 16G70 We characterise those basic and connected Nakayama algebras $Λ$ for which the mutation of $τ$-exceptional sequences respects the braid group relations. We show that this is the case if and only if $Λ$ is hereditary or all indecomposable projective $Λ$-modules have length at least $|Λ|$. |
| title | Classifying Nakayama algebras with a braid group action on $τ$-exceptional sequences |
| topic | Representation Theory 16G20, 16G70 |
| url | https://arxiv.org/abs/2507.07608 |