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

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

2006-08-26

arxiv.org/abs/math/0608657v1

Mathematics

Number Theory

16pages

Scientific paper

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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