Good Representations and Homogeneous Spaces

Details Good Representations and Homogeneous Spaces Good Representations and Homogeneous Spaces

2008-04-21

arxiv.org/abs/0804.3343v2

Mathematics

Algebraic Geometry

v2: Added caveat at the beginning in regards to these results already existing in the literature. 8 pages

Scientific paper

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.

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