Journal Home Page

Cumulative Index

List of all Volumes

Complete Contents
of this Volume

Previous Article

Next Article
 


Journal of Lie Theory 19 (2009), No. 2, 311--337
Copyright Heldermann Verlag 2009



Iwasawa Decompositions of Split Kac-Moody Groups

Tom De Medts
Dept. of Pure Mathematics and Computer Algebra, Ghent University, Krijgslaan 281, S22, 9000 Gent, Belgium
tdemedts@cage.ugent.be

Ralf Gramlich
Fachbereich Mathematik, Technische Universitšt, Schlossgartenstr. 7, 64289 Darmstadt, Germany
gramlich@mathematik.tu-darmstadt.de

Max Horn
Fachbereich Mathematik, Technische Universitšt, Schlossgartenstr. 7, 64289 Darmstadt, Germany
mhorn@mathematik.tu-darmstadt.de



We characterize the fields over which connected split semisimple algebraic groups and split Kac-Moody groups admit an Iwasawa decomposition.

Keywords: Iwasawa decomposition, split Kac-Moody group, split algebraic group, root group datum, building, rank one group, Moufang set.

MSC: 20E42, 51E24

[ Fulltext-pdf  (266  KB)] for subscribers only.