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Racines orthogonales et orbites d'algèbres de Lie semi-simple graduées

✍ Scribed by Iris Muller


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
428 KB
Volume
193
Category
Article
ISSN
0021-8693

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✦ Synopsis


We define a particular class of regular prehomogeneous vector spaces of parabolic type in relation with orthogonal roots, on a field of characteristic 0. We give the structure and the orbits of simple elements associated to the nonzero nilpotent elements of the prehomogeneous vector spaces in terms of these orthogonal roots.


📜 SIMILAR VOLUMES


Racines orthogonales, formes quadratique
✍ Iris Muller 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 383 KB

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 r