Good Representations and Homogeneous Spaces

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Let G be a real or complex linear algebraic reductive group. Let H and F be reductive subgroups. We study the natural H action on G/F. The main theorem of this note shows that generic H orbits are closed. This theorem is then applied to study representations of G, representations of H which are induced from representations of G, and intersections of reductive subgroups of G.
v2: Added caveat at the beginning in regards to these results already existing in the literature. 8 pages

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Algebraic Geometry, 20G20; 14L24

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http://salesiana.dossiersoluciones.com/handle/123456789/162396

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0804.3343
 http://arxiv.org/abs/0804.3343

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arXiv