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Journal Article

An explicit conductor formula for GLn X GL1

MPS-Authors
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Corbett,  Andrew
Max Planck Institute for Mathematics, Max Planck Society;

External Resource

https://doi.org/10.1216/RMJ-2019-49-4-1093
(Publisher version)

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Fulltext (public)

arXiv:1706.04988.pdf
(Preprint), 203KB

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Citation

Corbett, A. (2019). An explicit conductor formula for GLn X GL1. Rocky Mountain Journal of Mathematics, 49(4), 1093-1110. doi:10.1216/RMJ-2019-49-4-1093.


Cite as: https://hdl.handle.net/21.11116/0000-0004-A0AB-6
Abstract
We prove an explicit formula for the conductor of an irreducible, admissible representation of ${\rm GL}(n,F)$ twisted by a character of ${\rm GL}(1,F)$ 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.