Geometriae Dedicata

, Volume 112, Issue 1, pp 225–237

Arithmeticity vs. Nonlinearity for Irreducible Lattices

Authors

    • Department of MathematicsUniversity of Chicago
Article

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

Abstract

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.

Keywords

arithmeticitylinear representationslatticesKac–Moody groups

Copyright information

© Springer 2005