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

2006/08/26 by Takashi Taniguchi, Taniguchi, Takashi
Mathematics · #11E72 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Number Theory (math.NT) #Representation Theory (math.RT) #math.NT #math.RT #msc:11E72

paper · pdf · doi:10.48550/arxiv.math/0608657

16pages

arxiv created 2006/08/26 · openalex publication_date 2006/08/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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