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Representation Theory

Published by the American Mathematical Society, the Representation Theory (ERT) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.7.

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A geometric construction of types for the smooth representations of PGL(2) over a local field
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by Paul Broussous PDF
Represent. Theory 17 (2013), 508-523 Request permission

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
  • Email: paul.broussous@math.univ-poitiers.fr
  • 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
  • © Copyright 2013 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Represent. Theory 17 (2013), 508-523
  • MSC (2010): Primary 22E50; Secondary 20J05
  • DOI: https://doi.org/10.1090/S1088-4165-2013-00441-7
  • MathSciNet review: 3110480