Rational quiver representations: tame and wild
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866914070445162496 |
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| author | Januszewski, Fabian |
| author_facet | Januszewski, Fabian |
| contents | We study representation finite $K$-rational quivers over fields of characteristic $0$ and their indecomposable representations, exploiting that all Brauer obstructions for descent of representations are trivial in this case. Contrasting the tame case, we give an example of a simple quiver of wild representation type, where we realize every possible Brauer obstruction of a given Galois extension $L/K$ in the category of quiver representations over $L$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_00924 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Rational quiver representations: tame and wild Januszewski, Fabian Representation Theory 16G20 We study representation finite $K$-rational quivers over fields of characteristic $0$ and their indecomposable representations, exploiting that all Brauer obstructions for descent of representations are trivial in this case. Contrasting the tame case, we give an example of a simple quiver of wild representation type, where we realize every possible Brauer obstruction of a given Galois extension $L/K$ in the category of quiver representations over $L$. |
| title | Rational quiver representations: tame and wild |
| topic | Representation Theory 16G20 |
| url | https://arxiv.org/abs/2510.00924 |