Journal of Lie Theory

no. 4
Isomorphisms and Rigidity of Arithmetic Kac-Moody Groups
Journal of Lie Theory, Volume 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.
DOI: 10.5802/jolt.924
Classification: 20G44, 20G25, 51E24
Keywords: Arithmetic Kac-Moody group, twin building, isomorphism problem, Mostow-Margulis strong rigidity, Margulis superrigidity 
@article{JOLT_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},
     doi = {10.5802/jolt.924},
     zbl = {1387.20036},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.924/}
}
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A. Farahmand Parsa; M. Horn; R. Köhl. Isomorphisms and Rigidity of Arithmetic Kac-Moody Groups. Journal of Lie Theory, Volume 26 (2016) no. 4, pp. 1079-1105. doi: 10.5802/jolt.924

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