Propagation de paires couvrantes dans les groupes symplectiques
Author:
Corinne Blondel
Journal:
Represent. Theory 10 (2006), 399-434
MSC (2000):
Primary 22E50; Secondary 20C08
DOI:
https://doi.org/10.1090/S1088-4165-06-00295-0
Published electronically:
October 3, 2006
MathSciNet review:
2266698
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: Let 
be a self-dual supercuspidal representation of 
and 
a supercuspidal representation of 
, with 
a local nonarchimedean field of odd residual characteristic. Given a type, indeed a 
-cover, for the inertial class ![$ [GL(N,F) \times Sp(2k,F), \pi \otimes \rho ]_{Sp(2N+2k,F)}$](/ert/2006-10-16/S1088-4165-06-00295-0/gif-abstract0/img7.gif){kind=small}
satisfying suitable hypotheses, we produce a type, indeed a 
-cover, for the inertial class ![$ [GL(N,F)^{\times t} \times Sp(2k,F), \pi^{\otimes t } \otimes \rho ]_{Sp(2tN+2k,F)}$](/ert/2006-10-16/S1088-4165-06-00295-0/gif-abstract0/img9.gif){kind=small}
, for any positive integer 
. We describe the corresponding Hecke algebra as a convolution algebra over an affine Weyl group of type 
with quadratic relations inherited from the case 
and the structural data for 
.
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, J. Reine Angew. Math. 370 (1986), 127-191. Retrieve articles in Representation Theory of the American Mathematical Society with MSC (2000): 22E50, 20C08
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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:
blondel@math.jussieu.fr
DOI:
https://doi.org/10.1090/S1088-4165-06-00295-0
Received by editor(s):
September 28, 2005
Published electronically:
October 3, 2006
Article copyright:
© Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
