Abstract
M. Sato et T. Shintani’s theory associate to each real form of an irreducible and regular prehomogeneous vector spaces (where the group is reductive) a zeta function which has a remarkable functional equation. In this paper, we classify the infinitesimal real forms of the irreducible prehomogeneous vector spaces of parabolic type. The classification is obtained by means of weighted Stakaze diagrams.
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