# On the GIT stratification of prehomogeneous vector spaces II

## TL;DR

This paper classifies all orbits of two prehomogeneous vector spaces over any perfect field, providing a comprehensive understanding of their structure and rationality.

## Contribution

It explicitly determines all orbits of two specific prehomogeneous vector spaces over arbitrary perfect fields, advancing the classification in this area.

## Key findings

- Complete orbit classification over perfect fields
- Rationality results for the orbits
- Enhanced understanding of prehomogeneous vector spaces

## Abstract

We determine all orbits of two prehomogeneous vector spaces rationally over an arbitrary perfect field in this paper.