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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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Propagation de paires couvrantes dans les groupes symplectiques
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by Corinne Blondel PDF
Represent. Theory 10 (2006), 399-434 Request permission


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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Additional 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