1Dept. of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia 2School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay 400005, India
Journal of Lie Theory, Tome 22 (2012) no. 3, pp. 883-886
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
Affiliations des auteurs :
Hassan Azad 
1
;
Indranil Biswas 
2
1
Dept. of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia
2
School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay 400005, India
Hassan Azad; Indranil 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/JOLT_2012_22_3_a13/
@article{JOLT_2012_22_3_a13,
author = {Hassan Azad and Indranil 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/JOLT_2012_22_3_a13/}
}
TY - JOUR
AU - Hassan Azad
AU - Indranil 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
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ID - JOLT_2012_22_3_a13
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%V 22
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%F JOLT_2012_22_3_a13