Geodesic
A Cartan decomposition for p-adic loop groups.
Mathematische Annalen, Tome 302 (1995) no. 2, pp. 151-176.

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Mots-clés : -adic loop groups, Chevalley group, Laurent series, -adic field, maximal split torus, Cartan decomposition, simply-laced root system 
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     author = {H. Garland},
     title = {A {Cartan} decomposition for p-adic loop groups.},
     journal = {Mathematische Annalen},
     pages = {151--176},
     publisher = {mathdoc},
     volume = {302},
     number = {2},
     year = {1995},
     zbl = {0837.22013},
     url = {http://geodesic.mathdoc.fr/item/MAN_1995__302_2_165327/}
}
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H. Garland. A Cartan decomposition for p-adic loop groups.. Mathematische Annalen, Tome 302 (1995) no. 2, pp. 151-176. http://geodesic.mathdoc.fr/item/MAN_1995__302_2_165327/