On double coset decompositions of real reductive groups for reductive absolutely spherical subgroups
type: Item
instance of: scholarly article
title: On double coset decompositions of real reductive groups for reductive absolutely spherical subgroups
zbMATH Open document ID: 1493.22017
DOI: 10.1007/978-3-030-78346-4_14
author: Yuichiro Tanaka
publication date: 2022-01-26T00:00:00Z
review text: In the paper under review the author studies the double coset decomposition \(H\backslash G/L\) of a real reductive Lie group \(G\) with respect to reductive absolutely spherical subgroups \(H\) and \(L\). By the induction combined with computations for some minimal cases and reductions of some double coset spaces to more smaller groups, the author describes generic double cosets for reductive absolutely spherical pairs with some exceptions. The exceptional cases to which the argument of this article cannot be applied arise from some factorizations of type \(D_4\)-groups. For the entire collection see [Zbl 1477.43001].
reviewed by: Sergei S. Platonov
Mathematics Subject Classification ID: 22E46
Mathematics Subject Classification ID: 22F30
Mathematics Subject Classification ID: 53C30
zbMATH DE Number: 7464628
zbMATH Keywords: reductive Lie group
zbMATH Keywords: double coset decomposition
zbMATH Keywords: absolutely spherical subgroup
MaRDI profile type: Publication
full work available at URL: 978-3-030-78346-4 14
OpenAlex ID: W3210228688
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description: scientific article; zbMATH DE number 7464628