Rational quiver representations: tame and wild

F. Januszewski, ArXiv:2510.00924 (2025).

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Author
Januszewski, Fabian
Abstract
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 $L$.
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arXiv:2510.00924
Page
9
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Januszewski F. Rational quiver representations: tame and wild. arXiv:251000924. Published online 2025.
Januszewski, F. (2025). Rational quiver representations: tame and wild. In arXiv:2510.00924.
@article{Januszewski_2025, title={Rational quiver representations: tame and wild}, journal={arXiv:2510.00924}, author={Januszewski, Fabian}, year={2025} }
Januszewski, Fabian. “Rational Quiver Representations: Tame and Wild.” ArXiv:2510.00924, 2025.
F. Januszewski, “Rational quiver representations: tame and wild,” arXiv:2510.00924. 2025.
Januszewski, Fabian. “Rational Quiver Representations: Tame and Wild.” ArXiv:2510.00924, 2025.

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