English

Iwasawa decompositions of split Kac-Moody groups

Group Theory 2016-07-18 v2

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.

Keywords

Cite

@article{arxiv.0709.3466,
  title  = {Iwasawa decompositions of split Kac-Moody groups},
  author = {Tom De Medts and Ralf Köhl and Max Horn},
  journal= {arXiv preprint arXiv:0709.3466},
  year   = {2016}
}