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Arithmeticity vs. Nonlinearity for Irreducible Lattices

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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.

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Authors and Affiliations

  1. Department of Mathematics, University of Chicago, 5734 S University Ave, Chicago, IL, 60637, U.S.A

    Nicolas Monod

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  1. Nicolas Monod
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Correspondence to Nicolas Monod.

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Mathematics Subject Classiffications (2000). 22E40, 22E50, 53C24, 20G15

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Monod, N. Arithmeticity vs. Nonlinearity for Irreducible Lattices. Geom Dedicata 112, 225–237 (2005). https://doi.org/10.1007/s10711-004-6162-9

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