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2014 Matrix coefficients of depth-zero supercuspidal representations of $\mathrm{GL}(2)$
Andrew Knightly, Carl Ragsdale
Involve 7(5): 669-690 (2014). DOI: 10.2140/involve.2014.7.669

Abstract

We give explicit formulas for matrix coefficients of the depth-zero supercuspidal representations of GL(2) 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.

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Andrew Knightly. Carl Ragsdale. "Matrix coefficients of depth-zero supercuspidal representations of $\mathrm{GL}(2)$." Involve 7 (5) 669 - 690, 2014. https://doi.org/10.2140/involve.2014.7.669

Information

Received: 14 August 2013; Revised: 12 November 2013; Accepted: 16 November 2013; Published: 2014
First available in Project Euclid: 20 December 2017

zbMATH: 1297.22019
MathSciNet: MR3245843
Digital Object Identifier: 10.2140/involve.2014.7.669

Subjects:
Primary: 22E50

Keywords: matrix coefficients , regular characters , supercuspidal

Rights: Copyright © 2014 Mathematical Sciences Publishers

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Vol.7 • No. 5 • 2014
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