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

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

2012-03-05

arxiv.org/abs/1203.0798v1

Mathematics

Group Theory

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

Scientific paper

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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