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Matrix
coefficients of depth-zero supercuspidal representations of
$\mathrm{GL}(2)$
Andrew Knightly and Carl Ragsdale
Vol. 7 (2014), No. 5, 669–690
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Abstract |
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We give explicit formulas for matrix coefficients of the depth-zero supercuspidal representations of over a nonarchimedean local field, highlighting the case where the test vector is a unit new vector. We also describe the partition of the set of such representations according to central character, and compute sums of matrix coefficients over all representations in a given class. |
Keywords
supercuspidal, matrix coefficients, regular characters
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Mathematical Subject Classification 2010
Primary: 22E50
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Milestones
Received: 14 August 2013
Revised: 12 November 2013
Accepted: 16 November 2013
Published: 1 August 2014
Communicated by Michael E. Zieve
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Authors |
| Andrew Knightly | |
| Department of Mathematics and
Statistics University of Maine 5752 Neville Hall, Room 333 Orono, ME 04469-5752 United States |
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| Carl Ragsdale | |
| Department of Mathematics and
Statistics University of Maine 5752 Neville Hall, Room 333 Orono, ME 04469-5752 United States |
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