Some P.V.-equivalences and a classification of 2-simple prehomogeneous vector spaces of type 𝐼𝐼

Kimura, Tatsuo; Kasai, Shin-ichi; Taguchi, Masanobu; Inuzuka, Masaaki

doi:10.1090/S0002-9947-1988-0951617-6

Some P.V.-equivalences and a classification of $2$-simple prehomogeneous vector spaces of type $\textrm {II}$
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by Tatsuo Kimura, Shin-ichi Kasai, Masanobu Taguchi and Masaaki Inuzuka

Trans. Amer. Math. Soc. 308 (1988), 433-494

DOI: https://doi.org/10.1090/S0002-9947-1988-0951617-6

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Abstract:

A classification of $2$-simple prehomogeneous vector spaces is completed by using some P.V.-equivalences together with [3]. Some part is very different from the previous classification of the irreducible or simple cases [1, 2], and some new method is necessary. This result shows the difficult point of a classification problem of reductive prehomogeneous vector spaces.

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