On the conjugacy of maximal unipotent subgroups of real semisimple Lie groups

2012/03/05 by Hassan Azad, Indranil Biswas, Azad, Hassan +1
Mathematics · #14L30 #17B81 #20G20 #22E15 #Algebraic Geometry (math.AG) #FOS: Mathematics #Group Theory (math.GR) #math.AG #math.GR #msc:14L30 #msc:17B81 #msc:20G20 #msc:22E15

paper · pdf · doi:10.48550/arxiv.1203.0798

This supersedes 1112.5468. Final version; to appear in Journal of Lie-Theory

arxiv created 2012/03/05 · arxiv updated 2012/03/06

Abstract

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.

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