A remark on the regularity of prehomogeneous vector spaces
英文摘要：
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 $k$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
