The isotropy groups of bounded homogeneous domains are nontrivial
type: Item
instance of: scholarly article
title: The isotropy groups of bounded homogeneous domains are nontrivial
zbMATH Open document ID: 0935.32018
author: Axel Hundemer
published in: Manuscripta Mathematica
publication date: 2000-05-04T00:00:00Z
full work available at URL: http://hdl.handle.net/2027.42/42037
review text: The author answers the following question: Does there exist a bounded homogeneous domain \(M\) such that \(\Aut(M)\) acts freely on \(M\)? The answer is no. The proof is a simple consequence of the following well known results (1) bounded homogeneous domains are Siegel domains of second type over regular homogeneous cones; (Pijateckii-Shapiro, Gindikin and Vinberg) (2) inductive description of homogeneous regular cones by Rothaus.
Mathematics Subject Classification ID: 32M15
zbMATH DE Number: 1310844
zbMATH Keywords: isotropy groups
zbMATH Keywords: bounded homogeneous domain
reviewed by: L. Barchini
MaRDI profile type: Publication
OpenAlex ID: W2103696429
DOI: 10.1007/S002290050149
description: scientific article; zbMATH DE number 1310844