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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.


Propagation de paires couvrantes dans les groupes symplectiques
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by Corinne Blondel
Represent. Theory 10 (2006), 399-434
Published electronically: October 3, 2006


Let $\pi$ be a self-dual supercuspidal representation of $GL(N,F)$ and $\rho$ a supercuspidal representation of $Sp(2k,F)$, with $F$ a local nonarchimedean field of odd residual characteristic. Given a type, indeed a $Sp(2N+2k,F)$-cover, for the inertial class $[GL(N,F) \times Sp(2k,F), \pi \otimes \rho ]_{Sp(2N+2k,F)}$ satisfying suitable hypotheses, we produce a type, indeed a $Sp(2tN+2k,F)$-cover, for the inertial class $[GL(N,F)^{\times t} \times Sp(2k,F), \pi ^{\otimes t } \otimes \rho ]_{Sp(2tN+2k,F)}$, for any positive integer $t$. We describe the corresponding Hecke algebra as a convolution algebra over an affine Weyl group of type $\tilde C_t$ with quadratic relations inherited from the case $t=1$ and the structural data for $\pi$.
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Bibliographic Information
  • Corinne Blondel
  • Affiliation: C.N.R.S. - Théorie des Groupes–Case 7012, Institut de Mathématiques de Jussieu, Université Paris 7, F-75251 PARIS Cedex 05.
  • Email:
  • Received by editor(s): September 28, 2005
  • Published electronically: October 3, 2006
  • © Copyright 2006 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Represent. Theory 10 (2006), 399-434
  • MSC (2000): Primary 22E50; Secondary 20C08
  • DOI:
  • MathSciNet review: 2266698