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Discreteness criterion for subgroups of products of SL(2)

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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(\( \mathbb{R} \))’s.

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Authors and Affiliations

  1. CNRS-Université, Paris-Sud Orsay, France

    Yves Benoist

  2. Mathematics Department, Brown University, Providence, RI, USA

    Hee Oh

  3. Korea Institute for Advanced Study, Seoul, Korea

    Hee Oh

Authors
  1. Yves Benoist
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  2. Hee Oh
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Correspondence to Yves Benoist.

Additional information

Partially supported by NSF. (Hee Oh)

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Benoist, Y., Oh, H. Discreteness criterion for subgroups of products of SL(2). Transformation Groups 15, 503–515 (2010). https://doi.org/10.1007/s00031-010-9104-7

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  • DOI: https://doi.org/10.1007/s00031-010-9104-7

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