Decompositions related to symmetric varieties
type: Item
instance of: scholarly article
title: Decompositions related to symmetric varieties
zbMATH Open document ID: 1233.14033
author: Tonny A. Springer
published in: Journal of Algebra
publication date: 2011-07-19T00:00:00Z
review text: Let \(G\) be a connected reductive group over an algebraically closed field of characteristic \(\neq 2\). Let \(X\) be either \(G/P\), where \(P\) is a parabolic subgroup of \(G\), or the wonderful compactification of \(G/K\), where \(K\) is the fixed point group of an automorphism of \(G\) of order \(2\) (in the latter case \(G\) is adjoint). The paper established a decomposition of \(X\) into finitely many \(K\)-stable locally closed pieces.
reviewed by: Vladimir L. Popov
Mathematics Subject Classification ID: 14M27
Mathematics Subject Classification ID: 20G15
zbMATH DE Number: 5925845
zbMATH Keywords: reductive groups with involution
zbMATH Keywords: symmetric variety
zbMATH Keywords: wonderful compactification
MaRDI profile type: Publication
full work available at URL: j.jalgebra.2010.03.014
OpenAlex ID: W2082558099
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DOI: 10.1016/J.JALGEBRA.2010.03.014
description: scientific article; zbMATH DE number 5925845