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Journal of Lie Theory 26 (2016), No. 4, 1079--1105
Copyright Heldermann Verlag 2016



Isomorphisms and Rigidity of Arithmetic Kac-Moody Groups

Amir Farahmand Parsa
Mathematisches Institut, Justus-Liebig-Universitдt, Arndtstrasse 2, 35392 Giessen, Germany
[email protected]

Max Horn
Mathematisches Institut, Justus-Liebig-Universitдt, Arndtstrasse 2, 35392 Giessen, Germany
[email protected]

Ralf Kцhl
Mathematisches Institut, Justus-Liebig-Universitдt, Arndtstrasse 2, 35392 Giessen, Germany
[email protected]



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.

Keywords: Arithmetic Kac-Moody group, twin building, isomorphism problem, Mostow-Margulis strong rigidity, Margulis superrigidity.

MSC: 20G44, 20G25, 51E24

[ Fulltext-pdf  (444  KB)] for subscribers only.


StudyDrugSubjectsDesignResults
Gordon et al, 199317ClomipramineN = 305 weeksClomipramine > PLA
Age = 6 - 23CrossoverClomipramine > DMI
Dx = AUT19/28 (68%) responders
Remington et al, 200118ClomipramineN = 367 weeksClomipramine > PLA
HaloperidolAge = 10 - 36CrossoverClomipramine > Haloperidol
Dx = AUT
Sugie et al, 200521FluvoxamineN = 1812 weeksFluvoxamine 5/18 (28%) responders
Age = 3 - 8Crossover
Dx = AUT
McDougle et al, 199624FluvoxamineN = 3012 weeksFluvoxamine > PLA
Age = 18 - 53Parallel groups8/15 (53 %) responders
Dx = AUT
Hollander et aI, 200526FluoxetineN = 458 weeksFluoxetine > PLA repetitive behavior
Age = 5-16Crossover
Dx = AUT, ASP
Hollander et al, 201234FluoxetineN = 3712 weeksFluoxetine > PLA
Age = 18 - 60Parallel groups7/20 (35 %) responders
Dx = AUT
King et al, 200941CitalopramN = 14912 weeksCitalopram = PLA
Age = 5 -17Parallel groups
Dx = AUT

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