Unitary representations of totally disconnected locally compact groups satisfying Ol′šhanskiĭ’s factorisation
Copyright policy )Unitary representations of totally disconnected locally compact groups satisfying Ol′šhanskiĭ’s factorisation
Inspired by Ol′šhanskiĭ’s work, we provide an axiomatic framework to describe certain irreducible unitary representations of non-discrete unimodular totally disconnected locally compact groups. We look at the applications to certain groups of automorphisms of locally finite trees and semi-regular right-angled buildings.
- Université Catholique de Louvain Belgium
22D12, 20E08, 57M07, 51E24, Topological methods in group theory, groups acting on buildings, totally disconnected locally compact group, Unitary representations of locally compact groups, Group Theory (math.GR), groups acting on trees, square-integrable representation, Buildings and the geometry of diagrams, discrete series representation, FOS: Mathematics, Groups acting on trees, Representation Theory (math.RT), Mathematics - Group Theory, Mathematics - Representation Theory, unitary representation
22D12, 20E08, 57M07, 51E24, Topological methods in group theory, groups acting on buildings, totally disconnected locally compact group, Unitary representations of locally compact groups, Group Theory (math.GR), groups acting on trees, square-integrable representation, Buildings and the geometry of diagrams, discrete series representation, FOS: Mathematics, Groups acting on trees, Representation Theory (math.RT), Mathematics - Group Theory, Mathematics - Representation Theory, unitary representation
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