Dense Orbits in Orbital Varieties in n Anna
نویسنده
چکیده
Let O be a nilpotent orbit in the Lie algebra n( ) and let V be an orbital variety contained in O. Let P be the largest parabolic subgroup of SL(n, ) stabilizing V. We describe nilpotent orbits such that all the orbital varieties in them have a dense P orbit and show that for n big enough the majority of nilpotent orbits do not fulfill this. Résumé Soit O une orbite nilpotente dans l’algèbre de Lie n( ) et soit V une variété orbitale contenue dans O. Soit P le plus grand sous-groupe parabolique de SL(n, ) stabilisant V. Nous décrivons les orbites nilpotentes dont toutes les variétés orbitales contiennent une P-orbite dense et montrons que pour n assez grand la majorité des orbites nilpotentes n’ont pas cette propriété.
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