On the Conjugacy of Maximal Unipotent Subgroups of Real Semisimple Lie Groups
Journal of Lie theory, Tome 22 (2012) no. 3, pp. 883-886
Voir la notice de l'article provenant de la source Heldermann Verlag
The existence of closed orbits of real algebraic groups on real algebraic varieties is established. As an application, it is shown that if G is a real reductive linear group with Iwasawa decomposition G = KAN, then every unipotent subgroup of G is conjugate to a subgroup of N.
Classification :
14L30, 20G20, 22E15, 17B81
Mots-clés : Closed orbit, unipotent subgroup, real algebraic group
Mots-clés : Closed orbit, unipotent subgroup, real algebraic group
@article{JLT_2012_22_3_JLT_2012_22_3_a13,
author = {H. Azad and I. Biswas },
title = {On the {Conjugacy} of {Maximal} {Unipotent} {Subgroups} of {Real} {Semisimple} {Lie} {Groups}},
journal = {Journal of Lie theory},
pages = {883--886},
publisher = {mathdoc},
volume = {22},
number = {3},
year = {2012},
url = {http://geodesic.mathdoc.fr/item/JLT_2012_22_3_JLT_2012_22_3_a13/}
}
TY - JOUR AU - H. Azad AU - I. Biswas TI - On the Conjugacy of Maximal Unipotent Subgroups of Real Semisimple Lie Groups JO - Journal of Lie theory PY - 2012 SP - 883 EP - 886 VL - 22 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/JLT_2012_22_3_JLT_2012_22_3_a13/ ID - JLT_2012_22_3_JLT_2012_22_3_a13 ER -
H. Azad; I. Biswas . On the Conjugacy of Maximal Unipotent Subgroups of Real Semisimple Lie Groups. Journal of Lie theory, Tome 22 (2012) no. 3, pp. 883-886. http://geodesic.mathdoc.fr/item/JLT_2012_22_3_JLT_2012_22_3_a13/