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

Number Theory 2007-05-23 v1 Representation Theory

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 D5D_5 and E7E_7 types. Parameterizations of reducible algebras for the cubic cases are included.

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Cite

@article{arxiv.math/0608657,
  title  = {On parameterizations of rational orbits of some forms of prehomogeneous vector spaces},
  author = {Takashi Taniguchi},
  journal= {arXiv preprint arXiv:math/0608657},
  year   = {2007}
}

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16pages