Formes réelles des espaces préhomogènes irréductibles de type parabolique

Hubert Rubenthaler

Type: Article

Publication Date: 1986-01-01

Citations: 12

DOI: https://doi.org/10.5802/aif.1036

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.

Locations

French digital mathematics library (Numdam) - View - PDF
Annales de l’institut Fourier - View - PDF

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+	GLOBAL ZETA FUNCTIONS OF FREUDENTHAL QUARTICS	2002	Hiroshi Saitō
+	A classification of 2-simple prehomogeneous vector spaces of type I	1988	Tatsuo Kimura Shin-ichi Kasai Masaaki Inuzuka Osami Yasukura
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