Representations of PGL(2) of a local field and harmonic forms on simplicial complexes

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dc.creatorBroussous, Paul
dc.date2007-01-11
dc.date.accessioned2026-07-07T07:40:01Z
dc.date.available2026-07-07T07:40:01Z
dc.descriptionWe give combinatorial models for complex, smooth, non-spherical, generic, irreducible representations of the group G=PGL(2,F), where F is a non-archimedean locally compact field. They use the graphs X_k lying above the tree of G, introduced in a previous work. We show that such representations may be realized as quotients of the cohomology of X_k for some k, or equivalently as spaces of discrete harmonic forms on X_k. For supercuspidal representations these models are unique.
dc.description21 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/math/0701321
dc.identifierhttp://arxiv.org/abs/math/0701321
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121665
dc.subjectRepresentation Theory
dc.subject22E50
dc.titleRepresentations of PGL(2) of a local field and harmonic forms on simplicial complexes
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