Geodesic
On the Conjugacy of Maximal Unipotent Subgroups of Real Semisimple Lie Groups
Journal of Lie theory, Tome 22 (2012) no. 3, pp. 883-886
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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 
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     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},
     year = {2012},
     volume = {22},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JLT_2012_22_3_JLT_2012_22_3_a13/}
}
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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/