Abstract
In the present paper, we give conditions to have only finitely many orbits for prehomogeneous vector spaces of $D_4$-type. This paper completes the classification of finite prehomogeneous vector spaces of type $(G \times SL_n, \rho \otimes \Lambda_1)$ with $n \geq 2$. We consider everything over the complex number field $\mathbb{C}$.
Citation
Tomohiro Kamiyoshi. "A characterization of finite prehomogeneous vector spaces of $D_4$-type under various scalar restrictions." Tsukuba J. Math. 33 (1) 57 - 78, June 2009. https://doi.org/10.21099/tkbjm/1251833207
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