Geodesic
Iwasawa Decompositions of Split Kac-Moody Groups
Journal of Lie theory, Tome 19 (2009) no. 2, pp. 311-337
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We characterize the fields over which connected split semisimple algebraic groups and split Kac-Moody groups admit an Iwasawa decomposition.
Classification : 20E42, 51E24
Mots-clés : Iwasawa decomposition, split Kac-Moody group, split algebraic group, root group datum, building, rank one group, Moufang set 
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     author = {T. De Medts and R. Gramlich and M. Horn},
     title = {Iwasawa {Decompositions} of {Split} {Kac-Moody} {Groups}},
     journal = {Journal of Lie theory},
     pages = {311--337},
     year = {2009},
     volume = {19},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JLT_2009_19_2_JLT_2009_19_2_a8/}
}
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T. De Medts; R. Gramlich; M. Horn. Iwasawa Decompositions of Split Kac-Moody Groups. Journal of Lie theory, Tome 19 (2009) no. 2, pp. 311-337. http://geodesic.mathdoc.fr/item/JLT_2009_19_2_JLT_2009_19_2_a8/