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arxiv: 1112.5468 · v2 · pith:CJT37EXMnew · submitted 2011-12-22 · 🧮 math.GR · math-ph· math.MP

Orbits of Real Algebraic Groups

classification 🧮 math.GR math-phmath.MP
keywords realalgebraicgroupsorbitsapplicationcertainclosedconjugate
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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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