A geometric construction of types for the smooth representations of PGL(2) over a local field

Broussous, Paul

doi:10.1090/S1088-4165-2013-00441-7

A geometric construction of types for the smooth representations of PGL(2) over a local field
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by Paul Broussous

Represent. Theory 17 (2013), 508-523

DOI: https://doi.org/10.1090/S1088-4165-2013-00441-7

Published electronically: October 4, 2013

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Abstract:

We show that almost all (Bushnell and Kutzko) types of $\textrm {PGL}(2,F)$, $F$ a non-Archimedean locally compact field of odd residue characteristic, naturally appear in the cohomology of finite graphs.

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