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
✦ LIBER ✦
Algèbres de Lie Simples Graduées Par Un Système de Racines et Sous-Algèbres C-Admissibles
✍ Scribed by Josiane Nervi
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 298 KB
- Volume
- 223
- Category
- Article
- ISSN
- 0021-8693
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✦ Synopsis
ons la classification complete des algebres de Lie simples graduees par un ``ś ysteme de racines.
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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