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