Journal of Lie Theory

no. 2
Iwasawa Decompositions of Split Kac-Moody Groups
Tom De Medts1; Ralf Gramlich2; Max Horn2
1Dept. of Pure Mathematics and Computer Algebra, Ghent University, Krijgslaan 281, S22, 9000 Gent, Belgium
2Fachbereich Mathematik, Technische Universität, Schlossgartenstr. 7, 64289 Darmstadt, Germany
Journal of Lie Theory, Volume 19 (2009) no. 2, pp. 311-337
We characterize the fields over which connected split semisimple algebraic groups and split Kac-Moody groups admit an Iwasawa decomposition.
DOI: 10.5802/jolt.555
Classification: 20E42, 51E24
Keywords: Iwasawa decomposition, split Kac-Moody group, split algebraic group, root group datum, building, rank one group, Moufang set

Tom De Medts  1 ; Ralf Gramlich  2 ; Max Horn  2

1 Dept. of Pure Mathematics and Computer Algebra, Ghent University, Krijgslaan 281, S22, 9000 Gent, Belgium
2 Fachbereich Mathematik, Technische Universität, Schlossgartenstr. 7, 64289 Darmstadt, Germany 
Tom De Medts; Ralf Gramlich; Max Horn. Iwasawa Decompositions of Split Kac-Moody Groups. Journal of Lie Theory, Volume 19 (2009) no. 2, pp. 311-337. doi: 10.5802/jolt.555
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     title = {Iwasawa {Decompositions} of {Split} {Kac-Moody} {Groups}},
     journal = {Journal of Lie Theory},
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     year = {2009},
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