Orbits of Real Algebraic Groups

Mathematics – Group Theory

Scientific paper

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Scientific paper

The existence of closed orbits of real algebraic groups on certain real
algebraic spaces is established. As an application it is shown that if $G$ is a
real reductive group with Iwasawa decomposition $G=KAN$, then all unipotent
subgroups of $G$ are conjugate to a subgroup of $N$.

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