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Representation Theory

Published by the American Mathematical Society since 1997, this electronic-only journal is devoted to research in representation theory and seeks to maintain a high standard for exposition as well as for mathematical content. All articles are freely available to all readers and with no publishing fees for authors.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.71.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


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
Published electronically: October 4, 2013


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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Bibliographic 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:
  • 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:
  • MathSciNet review: 3110480