Arithmeticity vs. Nonlinearity for Irreducible Lattices
Identifieur interne : 000D10 ( Main/Merge ); précédent : 000D09; suivant : 000D11Arithmeticity vs. Nonlinearity for Irreducible Lattices
Auteurs : Nicolas Monod [États-Unis]Source :
- Geometriae Dedicata [ 0046-5755 ] ; 2005-04-01.
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Abstract
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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DOI: 10.1007/s10711-004-6162-9
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<front><div type="abstract" xml:lang="en">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.</div>
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