Skip to Main Content

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.


Dimensions of some locally analytic representations
HTML articles powered by AMS MathViewer

by Tobias Schmidt and Matthias Strauch
Represent. Theory 20 (2016), 14-38
Published electronically: February 2, 2016


Let $G$ be the group of points of a split reductive group over a finite extension of $\mathbb {Q}_p$. In this paper, we compute the dimensions of certain classes of locally analytic $G$-representations. This includes principal series representations and certain representations coming from homogeneous line bundles on $p$-adic symmetric spaces. As an application, we compute the dimensions of the unitary $\textrm {GL}_2(\mathbb {Q}_p)$-representations appearing in Colmez’ $p$-adic local Langlands correspondence.
Similar Articles
  • Retrieve articles in Representation Theory of the American Mathematical Society with MSC (2010): 11E95, 22E50, 11S80, 16S30
  • Retrieve articles in all journals with MSC (2010): 11E95, 22E50, 11S80, 16S30
Bibliographic Information
  • Tobias Schmidt
  • Affiliation: Institute de Recherche Mathématique de Rennes, Université de Rennes 1, Campus de Beaulieu, 35042 Rennes, France
  • Email:
  • Matthias Strauch
  • Affiliation: Department of Mathematics, Indiana University, Rawles Hall, Bloomington, Indiana 47405
  • MR Author ID: 620508
  • Email:
  • Received by editor(s): December 18, 2014
  • Received by editor(s) in revised form: November 17, 2015, and December 11, 2015
  • Published electronically: February 2, 2016
  • Additional Notes: The first author would like to acknowledge support of the Heisenberg programme of Deutsche Forschungsgemeinschaft
    The second author would like to acknowledge the support of the National Science Foundation (award DMS-1202303).
  • © Copyright 2016 American Mathematical Society
  • Journal: Represent. Theory 20 (2016), 14-38
  • MSC (2010): Primary 11E95, 22E50; Secondary 11S80, 16S30
  • DOI:
  • MathSciNet review: 3455080