Flag duality
type: Item
instance of: scholarly article
title: Flag duality
zbMATH Open document ID: 1001.14020
DOI: 10.1023/A:1006727207520
author: Alan Huckleberry
author: Joseph A. Wolf
published in: Annals of Global Analysis and Geometry
publication date: 2001-02-18T00:00:00Z
review text: Let \(G\) be a complex semi-simple group, \(Q\) a parabolic subgroup and \(Z=G/Q\) the associated flag manifold. If \(G_0\) is a real form, then it has open orbits in \(Z\). The authors introduce a duality on complex flag manifolds which is an extension of the usual point-hyperplane duality of complex projective spaces. This allows to study these open orbits when these flag domains are not measurable.
reviewed by: Giorgio Bolondi
Mathematics Subject Classification ID: 14M15
Mathematics Subject Classification ID: 51M35
zbMATH DE Number: 1530055
zbMATH Keywords: duality
zbMATH Keywords: flag manifolds
MaRDI profile type: Publication
full work available at URL: a:1006727207520
OpenAlex ID: W4252616345
description: scientific article; zbMATH DE number 1530055