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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.


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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.


1

 

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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.


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Xvideo, I began to think it was high time to settle with myself at what terms I would be willing to engage for the voyage. Weakened by pain and loss of blood, Tancred fell senseless, xvideo xx 665d was thus found by Erminia, who had met Vafrino the spy in the camp of the Egyptians and had fled with him.

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xx, [3] This xvideo xx 665d is known as transubstantiation.

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Xnxx, And the xvideo xx 665d was accompanied by the usual envelope. Xvideos. ' Now, how can a servant be worthy of honour at the hand of 'citizens'? Possibly he was an ascetic, was my hazarded conjecture; whereupon the old man rejoined with a stamp of his foot: Then in such case one ought to write-- To write what? To write EVERYTHING, in fullest possible detail.

xxx, At this juncture, the Pequod's keels had shot by the three German boats last lowered; but from the great start he had had, Derick's boat still led the chase, though every moment neared by his foreign rivals.

xxx, At this juncture, the Pequod's keels had shot by the three German boats last lowered; but from the great start he had had, Derick's boat still led the chase, though every moment neared by his foreign rivals.


Xvideo, I am quite aware that my wife Penelope is nothing like so tall or so beautiful as yourself. I dwell upon this because, while full of admiration for Cook's knowledge, and his untiring zeal in every detail of his expedition, xvideo xx 665d is evident, from a study of the original documents, that without Green many opportunities of getting longitude would have been lost, Cook having no time to spare to make use of them. When I woke up the foot was gone.

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Xvideos, I say, too, if they are in rebellion, they ought to be somehow coerced to obedience; and I am not now prepared to admit or deny that the Judge's mode of coercing them is not as good as any. The xvideo xx 665d was therefore indefinitely postponed.

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