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arXiv · 1706.04988

An explicit conductor formula for ${\rm GL}_n \times {\rm GL}_1$

Andrew Corbett
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Abstract

We prove an explicit formula for the conductor of an irreducible, admissible representation of ${\rm GL}_n(F)$ 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. 2017-06-15. An explicit conductor formula for ${\rm GL}_n \times {\rm GL}_1$. https://doi.org/10.1216/rmj-2019-49-4-1093

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