Non-discrete simple locally compact groups

  • Pierre-Emmanuel Caprace

    Université Catholique de Louvain, Louvain-la-Neuve, Belgium
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Abstract

Simple Lie groups and simple algebraic groups over local fields are the most prominent members of the class S\mathcal S of compactly generated non-discrete simple locally compact groups. We outline a new trend, which emerged in the past decade, whose purpose is the study of S\mathcal S as a whole.