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arXiv · 2510.00924

Rational quiver representations: tame and wild

Fabian Januszewski
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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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Fabian Januszewski. 2025-10-01. Rational quiver representations: tame and wild. https://arxiv.org/abs/2510.00924

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