Iwasawa decompositions of split Kac-Moody groups
classification
🧮 math.GR
keywords
groupssplitgroupiwasawakac-moodyadmitsalgebraiccharacterize
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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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