An explicit conductor formula for ${\rm GL}_n \times {\rm GL}_1$
Number Theory
2019-11-25 v3 Representation Theory
Abstract
We prove an explicit formula for the conductor of an irreducible, admissible representation of twisted by a character of where the field is local and non-archimedean. As a consequence, we quantify the number of character twists of such a representation of fixed conductor.
Cite
@article{arxiv.1706.04988,
title = {An explicit conductor formula for ${\rm GL}_n \times {\rm GL}_1$},
author = {Andrew Corbett},
journal= {arXiv preprint arXiv:1706.04988},
year = {2019}
}