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
ammarikais10@yahoo.fr
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
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