Arithmeticity vs. non-linearity for irreducible lattices

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.


Published in:
Geometriae DDedicata, 112, 1, 225-237
Year:
2005
Laboratories:




 Record created 2008-10-29, last modified 2018-03-17


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