Irreducible discrete subgroups in products of simple Lie groups

Azer Akhmedov

Irreducible discrete subgroups in products of simple Lie groups

Group Theory 2025-08-08 v3 Dynamical Systems Geometric Topology

Authors: Azer Akhmedov

Abstract

We produce an example of an irreducible discrete subgroup in the product $SL(2,\R)\times SL(2,\R)$ which is not a lattice. This answers a question asked in [15].

Keywords

discrete subgroup simple Lie group lattice irreducible subgroup SL(2,R)

Cite

@article{arxiv.2406.12107,
  title  = {Irreducible discrete subgroups in products of simple Lie groups},
  author = {Azer Akhmedov},
  journal= {arXiv preprint arXiv:2406.12107},
  year   = {2025}
}

Comments

This is a shortened version of the previous version. We have shortened the sections on general material, inserted several paragraphs of explanations and corrected several typing errors

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