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2019 An explicit conductor formula for $\operatorname{GL} _{n} \times \operatorname{GL} _{1}$
Andrew Corbett
Rocky Mountain J. Math. 49(4): 1093-1110 (2019). DOI: 10.1216/RMJ-2019-49-4-1093

Abstract

We prove an explicit formula for the conductor of an irreducible, admissible representation of $\operatorname{GL} _{n}(F)$ twisted by a character of $F^{\times} $ where the field $F$ is local and non-archimedean. As a consequence, we quantify the number of character twists of such a representation of fixed conductor.

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Andrew Corbett. "An explicit conductor formula for $\operatorname{GL} _{n} \times \operatorname{GL} _{1}$." Rocky Mountain J. Math. 49 (4) 1093 - 1110, 2019. https://doi.org/10.1216/RMJ-2019-49-4-1093

Information

Published: 2019
First available in Project Euclid: 29 August 2019

MathSciNet: MR3998911
Digital Object Identifier: 10.1216/RMJ-2019-49-4-1093

Subjects:
Primary: 11R52, 11S37, 11S40

Rights: Copyright © 2019 Rocky Mountain Mathematics Consortium

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Vol.49 • No. 4 • 2019
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