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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.


Cuspidal representations of reductive p-adic groups are relatively injective and projective
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by Ralf Meyer
Represent. Theory 19 (2015), 290-298
Published electronically: December 3, 2015


Cuspidal representations of a reductive $p$-adic group $G$ over a field of characteristic different from $p$ are relatively injective and projective with respect to extensions that split by a $U$-equivariant linear map for any subgroup $U$ that is compact modulo the centre. The category of smooth representations over a field whose characteristic does not divide the pro-order of $G$ is the product of the subcategories of cuspidal representations and of subrepresentations of direct sums of parabolically induced representations.
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Bibliographic Information
  • Ralf Meyer
  • Affiliation: Mathematisches Institut, Georg-August-Universität Göttingen, Bunsenstraße 3–5, 37073 Göttingen, Germany
  • MR Author ID: 624320
  • ORCID: 0000-0001-9584-8028
  • Email:
  • Received by editor(s): April 16, 2015
  • Received by editor(s) in revised form: November 9, 2015
  • Published electronically: December 3, 2015
  • © Copyright 2015 American Mathematical Society
  • Journal: Represent. Theory 19 (2015), 290-298
  • MSC (2000): Primary 22E50
  • DOI:
  • MathSciNet review: 3430372