Orbits of Real Algebraic Groups

2011/12/22 by Hassan Azad, H. Azad, Azad, H.
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Finite Group Theory Research #math-ph #math.GR #math.MP #msc:14L30 #msc:17B81 #msc:20G20 #msc:22E15

paper · pdf · doi:10.48550/arxiv.1112.5468

References updated

arxiv created 2011/12/28 · arxiv updated 2011/12/30

Abstract

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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