Geometriae Dedicata

, Volume 112, Issue 1, pp 225–237 | Cite as

Arithmeticity vs. Nonlinearity for Irreducible Lattices

  • Nicolas Monod


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.


arithmeticity linear representations lattices Kac–Moody groups 


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© Springer 2005

Authors and Affiliations

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

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