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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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Cuspidal representations of reductive p-adic groups are relatively injective and projective
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by Ralf Meyer PDF
Represent. Theory 19 (2015), 290-298 Request permission

Abstract:

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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Additional 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: rmeyer2@uni-goettingen.de
  • 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: https://doi.org/10.1090/ert/473
  • MathSciNet review: 3430372