Regular orbits of symmetric subgroups on partial flag varieties

Details Regular orbits of symmetric subgroups on partial flag varieties Regular orbits of symmetric subgroups on partial flag varieties

2009-03-05

arxiv.org/abs/0903.1039v1

Mathematics

Representation Theory

19 pages

Scientific paper

The main result of this paper is a new parameterization of the orbits of a symmetric subgroup on a partial flag variety. The parameterization is in terms of certain Spaltenstein varieties, on one hand, and certain nilpotent orbits, on the other. One of the motivations is related to enumerating special unipotent representations of real reductive groups. Another motivation is understanding (a portion of) the closure order on the set of nilpotent coadjoint orbits.

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