Journal Home Page

Cumulative Index

List of all Volumes

Complete Contents
of this Volume

Previous Article

Next Article

Journal of Lie Theory 24 (2014), No. 1, 097--122
Copyright Heldermann Verlag 2014

Stabilité des sous-algèbres paraboliques de so(n)

Kais Ammari
Université Tunis El-Manar, Faculté des Sciences de Tunis, Dép. de Mathématiques, Campus Universitaire, 2092 El-Manar -- Tunis, Tunisia

Let K be an algebraically closed field of characteristic 0. In this paper, we prove the equivalence between quasi-reductivity and stability for parabolic subalgebras of orthogonal Lie algebras and for certain Lie algebras which stabilize an alternating bilinear form of maximal rank and a flag in generic position.

Keywords: Quasi-reductivity, stability, parabolic subalgebras, orthogonal Lie algebras.

MSC: 17B45, 17B20, 22E60

[ Fulltext-pdf  (420  KB)] for subscribers only.