Stable Brauer-Thrall II' conjecture for finite-dimensional Jacobian algebras
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866914185244311552 |
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| author | Haerizadeh, Mohamad Yurikusa, Toshiya |
| author_facet | Haerizadeh, Mohamad Yurikusa, Toshiya |
| contents | We prove that finite-dimensional Jacobian algebras associated with non-degenerate quivers with potentials satisfy the stable Brauer-Thrall II' conjecture. In particular, this implies that the brick Brauer-Thrall II' conjecture (also known as the $τ$-Brauer-Thrall II' conjecture) holds for finite-dimensional Jacobian algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_06623 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stable Brauer-Thrall II' conjecture for finite-dimensional Jacobian algebras Haerizadeh, Mohamad Yurikusa, Toshiya Representation Theory 16G20, 16G10 We prove that finite-dimensional Jacobian algebras associated with non-degenerate quivers with potentials satisfy the stable Brauer-Thrall II' conjecture. In particular, this implies that the brick Brauer-Thrall II' conjecture (also known as the $τ$-Brauer-Thrall II' conjecture) holds for finite-dimensional Jacobian algebras. |
| title | Stable Brauer-Thrall II' conjecture for finite-dimensional Jacobian algebras |
| topic | Representation Theory 16G20, 16G10 |
| url | https://arxiv.org/abs/2512.06623 |