Discreteness criterion for subgroups of products of SL(2) (Q601758)

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scientific article; zbMATH DE number 5808454
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Discreteness criterion for subgroups of products of SL(2)
scientific article; zbMATH DE number 5808454

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    Discreteness criterion for subgroups of products of SL(2) (English)
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    29 October 2010
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    Let \(A\) be a finite product of at least two copies of \(\mathbb R\) or \(\mathbb C\). All discrete nonsolvable subgroups of SL\((2,A)\) containing an irreducible lattice in a maximal unipotent subgroup are classified. In particular, such a discrete subgroup has to be arithmetic. In the case when \(A\) is a product of \(\mathbb R\)'s, this is a result of Selberg.
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