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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 canonical dimension estimate for non-split semisimple $p$-adic Lie groups
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by Konstantin Ardakov and Christian Johansson
Represent. Theory 20 (2016), 128-138
Published electronically: February 18, 2016


We prove that the canonical dimension of an admissible Banach space or a locally analytic representation of an arbitrary semisimple $p$-adic Lie group is either zero or at least half the dimension of a non-zero coadjoint orbit. This extends the results of Ardakov, Wadsley, and Schmidt in the split semisimple case.
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Bibliographic Information
  • Konstantin Ardakov
  • Affiliation: School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom
  • Email:
  • Christian Johansson
  • Affiliation: School of Mathematics, Institute for Advanced Study, Einstein Drive, Princeton, New Jersey 08540
  • MR Author ID: 1031168
  • Email:
  • Received by editor(s): July 6, 2015
  • Received by editor(s) in revised form: December 31, 2015
  • Published electronically: February 18, 2016
  • © Copyright 2016 American Mathematical Society
  • Journal: Represent. Theory 20 (2016), 128-138
  • MSC (2010): Primary 11F85, 16S99, 22E50
  • DOI:
  • MathSciNet review: 3461051