English

A remark on the regularity of prehomogeneous vector spaces

Representation Theory 2016-09-07 v1

Abstract

In this note, we prove that if (G,V)(G,V) is a prehomogeneous vector space over any field kk 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 kk.

Keywords

Cite

@article{arxiv.math/9708209,
  title  = {A remark on the regularity of prehomogeneous vector spaces},
  author = {Akihiko Yukie},
  journal= {arXiv preprint arXiv:math/9708209},
  year   = {2016}
}
R2 v1 2026-07-22T17:56:58.446Z