Revisiting the Siegel upper half plane. II.
type: Item
instance of: scholarly article
title: Revisiting the Siegel upper half plane. II.
zbMATH Open document ID: 1047.22007
author: Pedro J. Freitas
author: S. Friedland
published in: Linear Algebra and its Applications
publication date: 2003-12-03T00:00:00Z
review text: This paper represents a completion of the investigations given in the first part (see [Linear Algebra Appl. 376, 19-44 (2004; see the following review Zbl 1047.22008)]). In it the authors return to the general geometry of the Siegel upper half spaces and the symplectic groups. They complete here results of \textit{E. Gottschling} [Math. Ann. 143, 111-149 (1961; Zbl 0099.28801)] and [Math. Ann. 143, 399-430 (1961; Zbl 0099.28802)] in that they give normal forms for the group elements and classify their fixed points.
Mathematics Subject Classification ID: 22E40
Mathematics Subject Classification ID: 15A21
Mathematics Subject Classification ID: 37C25
zbMATH DE Number: 2012697
zbMATH Keywords: Siegel upper half space
zbMATH Keywords: fixed points
zbMATH Keywords: normal forms
reviewed by: Samuel James Patterson
MaRDI profile type: Publication
full work available at URL: j.laa.2003.06.001
OpenAlex ID: W4210518113
cites work: Q3310101
cites work: Revisiting the Siegel upper half plane. I.
cites work: Über die Fixpunkte der Siegelschen Modulgruppe
cites work: Über die Fixpunktuntergruppen der Siegelschen Modulgruppe
DOI: 10.1016/J.LAA.2003.06.001
description: scientific article; zbMATH DE number 2012697