Iwasawa decompositions of split Kac-Moody groups

T De Medts, Ralf Gramlich, M Horn

Research output: Contribution to journalArticle

12 Citations (Scopus)


In this article we characterize the fields over which connected split semisimple algebraic groups and split Kac-Moody groups admit an Iwasawa decomposition.
Original languageEnglish
Pages (from-to)311-337
Number of pages27
JournalJournal of Lie Theory
Issue number2
Publication statusPublished - 1 Jan 2009


  • split Kac-Moody group
  • rank one group
  • building
  • Moufang set
  • Iwasawa decomposition
  • root group datum
  • split algebraic group


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