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Racines orthogonales, formes quadratiques et orbites d'algèbres de Lie simples graduées

✍ Scribed by Iris Muller

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 383 KB
Volume: 250
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.2002.9078

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✦ Synopsis

We give a unified orbital decomposition for irreducible, regular, prehomogeneous vector spaces of parabolic type graded by strongly orthogonal roots of same length, with one-dimensional corresponding root space, on a local or global field of characteristic 0, in terms of a class of quadratic forms related to a root system, Weyl action, and the invariants of the prehomogeneous vector spaces.

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