Regular Orbits of Symmetric Subgroups on Partial Flag Varieties

Dan Ciubotaru (), Kyo Nishiyama () and Peter E. Trapa ()
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Dan Ciubotaru: University of Utah, Department of Mathematics
Kyo Nishiyama: Aoyama Gaukin University, Department of Mathematics and Physics
Peter E. Trapa: University of Utah, Department of Mathematics

A chapter in Representation Theory, Complex Analysis, and Integral Geometry, 2012, pp 61-86 from Springer

Abstract: Abstract We give a new parameterization of the orbits of a symmetric subgroup on a partial flag variety. The parameterization is in terms of Spaltenstein varieties and associated nilpotent orbits. We explain applications to enumerating special unipotent representations of real reductive groups, as well as (a portion of) the closure order on the set of nilpotent coadjoint orbits.

Keywords: Partial flag varieties; Symmetric subgroups; Spaltenstein varieties; Unipotent representations (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-8176-4817-6_4

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DOI: 10.1007/978-0-8176-4817-6_4

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