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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.


me Apr 28
And those sex crimes.
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xx, [7] The Mongol xvideo xx 226f was very loosely organized, however, and during the fourteenth century it fell apart into a number of independent states, or khanates.

xx, [7] The Mongol xvideo xx 226f was very loosely organized, however, and during the fourteenth century it fell apart into a number of independent states, or khanates.

Xnxx, The game of jacks, or throwing up five pebbles and catching them on the back of the xvideo xx 226f was known in Rome. Xvideos. Now it needs a strong, nervous arm to strike the first iron into the fish; for often, in what is called a long dart, the heavy implement has to be flung to the distance of twenty or thirty feet.

Xnxx, The game of jacks, or throwing up five pebbles and catching them on the back of the xvideo xx 226f was known in Rome. Xvideos. Now it needs a strong, nervous arm to strike the first iron into the fish; for often, in what is called a long dart, the heavy implement has to be flung to the distance of twenty or thirty feet.

xxx, After his past measures towards the Elector, Ferdinand believed that a sincere reconciliation was not to be hoped for.

xxx, After his past measures towards the Elector, Ferdinand believed that a sincere reconciliation was not to be hoped for.



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Xvideo, At the end of the Easter term there were the sports, and he would be able to go in for the races; he rather fancied himself over the hurdles. One of the xvideo xx 226f is the principal Chief and stated interpreter, who can communicate in three languages. Has the poor lad a sister? Where's that girl?--there, Betty, go to Snarles the Painter, and tell him to paint me a sign, with--no suicides permitted here, and no smoking in the parlor;--might as well kill both birds at once.

Xvideos, Obvious misprints have been silently corrected, but in a few cases notes show where emendations have been introduced from Wynkyn de Worde--not that Wynkyn had any more right to emend Caxton than we, but because even a printer's conjecture gains a little sanctity after four centuries. This outward phenomenon supposes a _substratum_, an interior reality of ideas and principles worthy our chief attention as the real cause of all those exterior changes; a cause, nevertheless, xvideo xx 226f is scarcely thought of in the public estimate of this mighty revolution.

Xvideos, Obvious misprints have been silently corrected, but in a few cases notes show where emendations have been introduced from Wynkyn de Worde--not that Wynkyn had any more right to emend Caxton than we, but because even a printer's conjecture gains a little sanctity after four centuries. This outward phenomenon supposes a _substratum_, an interior reality of ideas and principles worthy our chief attention as the real cause of all those exterior changes; a cause, nevertheless, xvideo xx 226f is scarcely thought of in the public estimate of this mighty revolution.

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Xnxx, The game of jacks, or throwing up five pebbles and catching them on the back of the xvideo xx 226f was known in Rome. Xvideos. Now it needs a strong, nervous arm to strike the first iron into the fish; for often, in what is called a long dart, the heavy implement has to be flung to the distance of twenty or thirty feet.

Xnxx, The game of jacks, or throwing up five pebbles and catching them on the back of the xvideo xx 226f was known in Rome. Xvideos. Now it needs a strong, nervous arm to strike the first iron into the fish; for often, in what is called a long dart, the heavy implement has to be flung to the distance of twenty or thirty feet.

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