On parameterizations of rational orbits of some forms of prehomogeneous vector spaces

Takashi Taniguchi

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On parameterizations of rational orbits of some forms of prehomogeneous vector spaces

Takashi Taniguchi

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Abstract

In this paper, we consider the structure of rational orbit of some prehomogeneous vector spaces originally motivated by Wright and Yukie. After we give a refinement of Wright-Yukie's construction, we apply it to the inner forms of the $D_5$ and $E_7$ types. Parameterizations of reducible algebras for the cubic cases are included.

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Takashi Taniguchi. 2006-08-26. On parameterizations of rational orbits of some forms of prehomogeneous vector spaces. https://arxiv.org/abs/math/0608657

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