Isomorphisms and Rigidity of Arithmetic Kac-Moody Groups
Journal of Lie theory, Tome 26 (2016) no. 4, pp. 1079-1105
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
Mots-clés : Arithmetic Kac-Moody group, twin building, isomorphism problem, Mostow-Margulis strong rigidity, Margulis superrigidity
@article{JLT_2016_26_4_JLT_2016_26_4_a6,
author = {A. Farahmand Parsa and M. Horn and R. 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/JLT_2016_26_4_JLT_2016_26_4_a6/}
}
TY - JOUR AU - A. Farahmand Parsa AU - M. Horn AU - R. Köhl TI - Isomorphisms and Rigidity of Arithmetic Kac-Moody Groups JO - Journal of Lie theory PY - 2016 SP - 1079 EP - 1105 VL - 26 IS - 4 UR - http://geodesic.mathdoc.fr/item/JLT_2016_26_4_JLT_2016_26_4_a6/ ID - JLT_2016_26_4_JLT_2016_26_4_a6 ER -
A. Farahmand Parsa; M. Horn; R. 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/JLT_2016_26_4_JLT_2016_26_4_a6/