JournalsprimsVol. 47, No. 2pp. 397–418

On M. Sato's Classification of Some Reductive Prehomogeneous Vector Spaces

  • Tatsuo Kimura

    University of Tsukuba, Ibaraki, Japan
  • Yukimi Ishii

    University of Tsukuba, Ibaraki, Japan
  • Inhyun Ryu

    University of Tsukuba, Ibaraki, Japan
  • Michio Hamada

    University of Tsukuba, Ibaraki, Japan
  • Yoshiteru Kurosawa

    University of Tsukuba, Ibaraki, Japan
  • Masaya Ouchi

    University of Tsukuba, Ibaraki, Japan
  • Tomohiro Kamiyoshi

    University of Tsukuba, Ibaraki, Japan
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Abstract

Under some condition, M. Sato classified reductive prehomogeneous vector spaces of the form (G0×G,Λ1ρ,V(n)V)(G_{0}\times G,\Lambda _{1} \otimes \rho ,V(n)\otimes V). In this paper, under the other condition, we classify the prehomogeneous vector spaces of the same form. We consider everything over the complex number field C\mathbb{C}.

Cite this article

Tatsuo Kimura, Yukimi Ishii, Inhyun Ryu, Michio Hamada, Yoshiteru Kurosawa, Masaya Ouchi, Tomohiro Kamiyoshi, On M. Sato's Classification of Some Reductive Prehomogeneous Vector Spaces. Publ. Res. Inst. Math. Sci. 47 (2011), no. 2, pp. 397–418

DOI 10.2977/PRIMS/40