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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.


(1942). The East Side Kids. Innocent. manawaits execution. Hotsytotsy (7)Water World (9)Hour of Power(13) WORLD PRESS

12:25

(2)News

12:30

(2)Public Hearing (4)MEET THE PRESS King Hussein of Jordan (7)Eyewitness News Conference

1:00

(2)NBA PLAYOFF GAME(4)World Championship Tennis: Live from Mexico City (5)Movie: “Top Secret Affair” (1957). Susan Hayward, Kirk Douglas. Part inside—Washington satire part love's tug‐of‐war. Back and forth. But lively, often bright (7)Directions (9)Movie: “Racketeers of the Range” (1940). George O'Brien, Marjorie Reynolds. Exactly what it tries to be (13)In Performance at Wolf Trap (R)

1:30

(7) •ISSUES AND ANSWER

1:50

(9) BASEBALL: Mets vs.Montreal Expos

2:00

(7)Movie: “The Tall Men” (1955). Clark Cable, Robert Ryan, Jane Russell. Pygmies and the picture is punk

2:30

( BASEBALL: New York Yankees vs. Milwaukee Brewers (13)The Thin Edge (R)

3:00

(5) MOVIE: “My Darling Clementine” (1946). Henry Fonda, Linda Darnell, Victor Mature. A John Ford Western pearl, this one on Wvatt Earp

3:30

(2)CBS Sports Spectacular: “Mixed Doubles Classic”

4:00

(4) STANLEY CUP PLAYOFF GAME: Island ers vs. Flyers (31)Romagnolis’ Table (R)

4:13

(13)Washington Week in Review (R)

4:30

(7)WORLD TENNIS CLASSIC(31)Washington Week In Review

4:45

(13)Wall Street Week (R)

5:00

(5)The Ghost and Mrs. Muir (9)Movie: “Son of Frankenstein” (1939). Boris Karloff, Basil Rathbone. Third best. after “Frank” and “The Bride.” In short, okay (11)Abbott and Costello (31)Consumer Survival Kit

5:25

(13)Feeling Good (R)

5:30

(2)What's My Line? (5)Animal World (11) Movie: “Dangerous” (1936). Bette Davis, Franchot Tone, Margaret Lindsay, Weak then, crummy now (31)The Thin Edge

1

(1942). The East Side Kids. Innocent. manawaits execution. Hotsytotsy (7)Water World (9)Hour of Power(13) WORLD PRESS

12:25

(2)News

12:30

(2)Public Hearing (4)MEET THE PRESS King Hussein of Jordan (7)Eyewitness News Conference

1:00

(2)NBA PLAYOFF GAME(4)World Championship Tennis: Live from Mexico City (5)Movie: “Top Secret Affair” (1957). Susan Hayward, Kirk Douglas. Part inside—Washington satire part love's tug‐of‐war. Back and forth. But lively, often bright (7)Directions (9)Movie: “Racketeers of the Range” (1940). George O'Brien, Marjorie Reynolds. Exactly what it tries to be (13)In Performance at Wolf Trap (R)

1:30

(7) •ISSUES AND ANSWER

1:50

(9) BASEBALL: Mets vs.Montreal Expos

2:00

(7)Movie: “The Tall Men” (1955). Clark Cable, Robert Ryan, Jane Russell. Pygmies and the picture is punk

2:30

( BASEBALL: New York Yankees vs. Milwaukee Brewers (13)The Thin Edge (R)

3:00

(5) MOVIE: “My Darling Clementine” (1946). Henry Fonda, Linda Darnell, Victor Mature. A John Ford Western pearl, this one on Wvatt Earp

3:30

(2)CBS Sports Spectacular: “Mixed Doubles Classic”

4:00

(4) STANLEY CUP PLAYOFF GAME: Island ers vs. Flyers (31)Romagnolis’ Table (R)

4:13

(13)Washington Week in Review (R)

4:30

(7)WORLD TENNIS CLASSIC(31)Washington Week In Review

4:45

(13)Wall Street Week (R)

5:00

(5)The Ghost and Mrs. Muir (9)Movie: “Son of Frankenstein” (1939). Boris Karloff, Basil Rathbone. Third best. after “Frank” and “The Bride.” In short, okay (11)Abbott and Costello (31)Consumer Survival Kit

5:25

(13)Feeling Good (R)

5:30

(2)What's My Line? (5)Animal World (11) Movie: “Dangerous” (1936). Bette Davis, Franchot Tone, Margaret Lindsay, Weak then, crummy now (31)The Thin Edge

2

Xvideos, *BEFORE!* YOU USE OR READ THIS ETEXT By using or reading any part of this PROJECT GUTENBERG-tm etext, you indicate that you understand, agree to and accept this Small Print! statement. I must wake him! He dipped the end of a towel in cold water and with it began to flick him on the face, his wife all the while holding her face between her hands and sobbing in a way xvideo xx 661 was heart breaking to hear.

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