Journal of Lie Theory

no. 2
Iwasawa Decompositions of Split Kac-Moody Groups
Journal of Lie Theory, Volume 19 (2009) no. 2, pp. 311-337
We characterize the fields over which connected split semisimple algebraic groups and split Kac-Moody groups admit an Iwasawa decomposition.
DOI: 10.5802/jolt.555
Classification: 20E42, 51E24
Keywords: Iwasawa decomposition, split Kac-Moody group, split algebraic group, root group datum, building, rank one group, Moufang set 
@article{JOLT_2009_19_2_a8,
     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},
     doi = {10.5802/jolt.555},
     zbl = {1253.22013},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.555/}
}
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%A R. Gramlich
%A M. Horn
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T. De Medts; R. Gramlich; M. Horn. Iwasawa Decompositions of Split Kac-Moody Groups. Journal of Lie Theory, Volume 19 (2009) no. 2, pp. 311-337. doi: 10.5802/jolt.555

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