Arithmeticity vs. non-linearity for irreducible lattices

Details Arithmeticity vs. non-linearity for irreducible lattices Arithmeticity vs. non-linearity for irreducible lattices

2004-07-06

arxiv.org/abs/math/0407083v1

Mathematics

Group Theory

11 pages

Scientific paper

We establish an arithmeticity vs. non-linearity alternative for irreducible
lattices in suitable product groups, such as for instance products of
topologically simple groups. This applies notably to a (large class of)
Kac-Moody groups. The alternative relies on a CAT(0) superrigidity theorem, as
we follow Margulis' reduction of arithmeticity to superrigidity.

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