Journal of Lie Theory

no. 3
On the Conjugacy of Maximal Unipotent Subgroups of Real Semisimple Lie Groups
Hassan Azad1; Indranil Biswas2
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, Volume 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.
DOI: 10.5802/jolt.697
Classification: 14L30, 20G20, 22E15, 17B81
Keywords: Closed orbit, unipotent subgroup, real algebraic group

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, Volume 22 (2012) no. 3, pp. 883-886. doi: 10.5802/jolt.697
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     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},
     doi = {10.5802/jolt.697},
     zbl = {1247.14049},
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