Closure relations for orbits on affine symmetric spaces under the action of parabolic subgroups. Intersections of associated orbits
type: Item
instance of: scholarly article
title: Closure relations for orbits on affine symmetric spaces under the action of parabolic subgroups. Intersections of associated orbits
zbMATH Open document ID: 0652.53035
author: Toshihiko Matsuki
published in: Hiroshima Mathematical Journal
publication date: 1988-01-01T00:00:00Z
review text: Let \(H\setminus G\) be an affine symmetric space, where G is a real semisimple Lie group, and H is an open subgroup of the fixed point subgroup of an involutive automorphism of G. Let P be a minimal parabolic subgroup of G, and P' a parabolic subgroup of G, containing P. The main theorem of this paper states several results concerning double cosets in the space \(H\setminus G/P'\), in particular simple criteria for inclusion, or equality of such cosets.
Mathematics Subject Classification ID: 53C35
Mathematics Subject Classification ID: 22E46
zbMATH DE Number: 4063983
zbMATH Keywords: orbits
zbMATH Keywords: affine symmetric space
zbMATH Keywords: semisimple Lie group
zbMATH Keywords: parabolic subgroup
zbMATH Keywords: double cosets
reviewed by: François Rouvière
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.32917/hmj/1206129860
OpenAlex ID: W1517079599
Wikidata QID: Q128869318
DOI: 10.32917/HMJ/1206129860
description: scientific article; zbMATH DE number 4063983