Geometriae Dedicata

, Volume 112, Issue 1, pp 225–237

Arithmeticity vs. Nonlinearity for Irreducible Lattices


DOI: 10.1007/s10711-004-6162-9

Cite this article as:
Monod, N. Geom Dedicata (2005) 112: 225. doi:10.1007/s10711-004-6162-9


We establish an arithmeticity vs. nonlinearity alternative for irreducible lattices in suitable product groups, for instance products of topologically simple groups. This applies notably to a (large class of) Kac–Moody groups. The alternative relies heavily on the superrigidity theorem we propose since we follow Margulis’ reduction of arithmeticity to superrigidity.


arithmeticitylinear representationslatticesKac–Moody groups

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© Springer 2005

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of ChicagoChicagoU.S.A