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On the degrees of
matrix coefficients of intertwining operators
Tobias Finis, Erez Lapid and Werner Müller |
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Vol. 260 (2012), No. 2, 433–456
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Abstract |
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We state and discuss a general conjectural bound on the degrees of matrix coefficients of intertwining operators for reductive groups over p-adic fields and a supplementary uniformity conjecture for reductive groups over number fields. We prove both conjectures for the groups GL(r) and obtain partial results for other groups.
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Keywords
p-adic reductive groups,
intertwining operators
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Mathematical Subject Classification 2010
Primary: 20G25, 20G30
Secondary: 11F85
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Milestones
Received: 11 June 2012
Accepted: 6 August 2012
Published: 30 November 2012
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Authors |
| Tobias Finis | |
| Institut für Mathematik Freie Universität Berlin Arnimallee 3 D-14195 Berlin Germany |
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| Erez Lapid | |
| Einstein Institute of
Mathematics The Hebrew University of Jerusalem 91904 Jerusalem Israel |
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| Werner Müller | |
| Mathematisches Institut Rheinische Friedrich-Wilhelms-Universität Bonn Endenicher Allee 60 D-53115 Bonn Germany |
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