On parameterizations of rational orbits of some forms of prehomogeneous vector spaces
Takashi Taniguchi
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 D5 and E7 types. Parameterizations of reducible algebras for the cubic cases are included.
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