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Discreteness criterion for subgroups of products of SL(2) |
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| Authors: | Yves Benoist Hee Oh |
| Institution: | 1. CNRS-Université, Paris-Sud Orsay, France 2. Mathematics Department, Brown University, Providence, RI, USA 3. Korea Institute for Advanced Study, Seoul, Korea |
| Abstract: | Let G be a finite product of SL(2, K i )’s for local fields K i of characteristic zero. We present a discreteness criterion for nonsolvable subgroups of G containing an irreducible lattice of a maximal unipotent subgroup of G. In particular, such a subgroup has to be arithmetic. This extends a previous result of A. Selberg when G is a product of SL2( \mathbbR \mathbb{R} )’s. |
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