Iwasawa decompositions of split Kac-Moody groups

Details Iwasawa decompositions of split Kac-Moody groups Iwasawa decompositions of split Kac-Moody groups

2007-09-21

arxiv.org/abs/0709.3466v2

Mathematics

Group Theory

Scientific paper

We characterize all fields F for which a group with an F-locally split root
group datum admits an Iwasawa decomposition. This class of groups in particular
includes the split semisimple algebraic groups and the split Kac-Moody groups.

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