Geodesic
Isomorphisms and Rigidity of Arithmetic Kac-Moody Groups
Amir Farahmand Parsa1 ; Max Horn1 ; Ralf Köhl1
1Mathematisches Institut, Justus-Liebig-Universität, Arndtstrasse 2, 35392 Giessen, Germany
Journal of Lie Theory, Tome 26 (2016) no. 4, pp. 1079-1105

Voir la notice de l'article provenant de la source Heldermann Verlag

We solve the isomorphism problem for subgroups of integral points of two-spherical Kac-Moody groups over the rational numbers. Along the way we establish versions of Mostow-Margulis strong rigidity and Margulis superrigidity with target in two-spherical split Kac-Moody groups over the rational numbers for arithmetically defined subgroups.
Classification : 20G44, 20G25, 51E24
Mots-clés : Arithmetic Kac-Moody group, twin building, isomorphism problem, Mostow-Margulis strong rigidity, Margulis superrigidity

Amir Farahmand Parsa  1   ; Max Horn  1   ; Ralf Köhl  1

1 Mathematisches Institut, Justus-Liebig-Universität, Arndtstrasse 2, 35392 Giessen, Germany 
Amir Farahmand Parsa; Max Horn; Ralf Köhl. Isomorphisms and Rigidity of Arithmetic Kac-Moody Groups. Journal of Lie Theory, Tome 26 (2016) no. 4, pp. 1079-1105. http://geodesic.mathdoc.fr/item/JOLT_2016_26_4_a6/
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     author = {Amir Farahmand Parsa and Max Horn and Ralf K\"ohl},
     title = {Isomorphisms and {Rigidity} of {Arithmetic} {Kac-Moody} {Groups}},
     journal = {Journal of Lie Theory},
     pages = {1079--1105},
     year = {2016},
     volume = {26},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2016_26_4_a6/}
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