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Representation Theory

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

Author: Paul Broussous
Journal: Represent. Theory 17 (2013), 508-523
MSC (2010): Primary 22E50; Secondary 20J05
Published electronically: October 4, 2013
MathSciNet review: 3110480
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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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Additional Information

Paul Broussous
Affiliation: Département de Mathématiques, Université de Poitiers, Téléport 2 - BP 30179, Boulevard Marie et Pierre Curie, 86962 Futuroscope Chasseneuil Cedex, France

Received by editor(s): March 26, 2012
Received by editor(s) in revised form: April 17, 2013
Published electronically: October 4, 2013
Additional Notes: The author wants to thanks the anonymous referee whose remarks helped him to improve the presentation of this article
Dedicated: Dedicated to Guy Henniart on his 60th birthday
Article copyright: © Copyright 2013 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.