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arXiv · 0709.3466

Iwasawa decompositions of split Kac-Moody groups

Abstract

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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Tom De Medts, Ralf Köhl, Max Horn. 2009-06-26. Iwasawa decompositions of split Kac-Moody groups. https://arxiv.org/abs/0709.3466

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