A representation embedding for algebras of infinite type
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866913399312482304 |
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| author | Ramos, Raymundo Bautista Terrazas, Jesús Efrén Pérez Castro, Leonardo Salmerón |
| author_facet | Ramos, Raymundo Bautista Terrazas, Jesús Efrén Pérez Castro, Leonardo Salmerón |
| contents | We show that for any finite-dimensional algebra $Λ$ of infinite representation type, over a perfect field, there is a bounded principal ideal domain $Γ$ and a representation embedding from $Γ-$mod into $Λ-$mod. As an application, we prove a variation of the Brauer-Trall Conjecture II: finite-dimensional algebras of infinite-representation type admit infinite families of non-isomorphic finite-dimensional indecomposables with fixed endolength, for infinitely many endolengths. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_03370 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A representation embedding for algebras of infinite type Ramos, Raymundo Bautista Terrazas, Jesús Efrén Pérez Castro, Leonardo Salmerón Representation Theory 16G60, 16G20 We show that for any finite-dimensional algebra $Λ$ of infinite representation type, over a perfect field, there is a bounded principal ideal domain $Γ$ and a representation embedding from $Γ-$mod into $Λ-$mod. As an application, we prove a variation of the Brauer-Trall Conjecture II: finite-dimensional algebras of infinite-representation type admit infinite families of non-isomorphic finite-dimensional indecomposables with fixed endolength, for infinitely many endolengths. |
| title | A representation embedding for algebras of infinite type |
| topic | Representation Theory 16G60, 16G20 |
| url | https://arxiv.org/abs/2406.03370 |