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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.


On the irreducibility of locally analytic principal series representations
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by Sascha Orlik and Matthias Strauch
Represent. Theory 14 (2010), 713-746
Published electronically: December 1, 2010


Let $\mathbf {G}$ be a $p$-adic connected reductive group with Lie algebra $\mathfrak {g}$. For a parabolic subgroup $\mathbf {P} \subset \mathbf {G}$ and a finite-dimensional locally analytic representation $V$ of a Levi subgroup of $\mathbf {P}$, we study the induced locally analytic $\mathbf {G}$-representation $W = \operatorname {Ind}_{\mathbf {P}}^{\mathbf {G}}(V)$. Our result is the following criterion concerning the topological irreducibility of $W$: If the Verma module $U(\mathfrak {g}) \otimes _{U(\mathfrak {p})} V’$ associated to the dual representation $V’$ is irreducible, then $W$ is topologically irreducible as well.
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Bibliographic Information
  • Sascha Orlik
  • Affiliation: Fachgruppe Mathematik and Informatik, Bergische Universität Wuppertal, Gaußtraße 20, 42097 Wuppertal, Germany
  • Email:
  • Matthias Strauch
  • Affiliation: Department of Mathematics, Indiana University, 831 East Third Street, Bloomington, Indiana 47401
  • MR Author ID: 620508
  • Email:
  • Received by editor(s): November 26, 2007
  • Received by editor(s) in revised form: March 16, 2010, and May 23, 2010
  • Published electronically: December 1, 2010
  • Additional Notes: M.S. is partially supported by NSF grant DMS-0902103.
  • © Copyright 2010 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Represent. Theory 14 (2010), 713-746
  • MSC (2010): Primary 22E50
  • DOI:
  • MathSciNet review: 2738585