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A remark on the regularity of prehomogeneous vector spaces

In this note, we prove that if $(G,V)$ is a prehomogeneous vector space over any field $k$ such that the stabilizer of a generic point is reductive, the set of semi-stable points is a single orbit over the separable closure of $k$.

preprint1997arXivOpen access
Akihiko Yukie
math.RT
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Akihiko Yukie

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