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  An explicit conductor formula for GLn X GL1

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.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0004-A0AB-6 Version Permalink: https://hdl.handle.net/21.11116/0000-0004-D95C-1
Genre: Journal Article
Latex : An explicit conductor formula for ${\rm GL}(n) \times {\rm GL}(1)$

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arXiv:1706.04988.pdf (Preprint), 203KB
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 Creators:
Corbett, Andrew1, Author           
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Number Theory, Representation Theory
 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.

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Language(s): eng - English
 Dates: 2019
 Publication Status: Published in print
 Pages: 18
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1706.04988
URI: http://arxiv.org/abs/1706.04988
DOI: 10.1216/RMJ-2019-49-4-1093
URI: http://www.mpim-bonn.mpg.de/preblob/5730
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Title: Rocky Mountain Journal of Mathematics
Source Genre: Journal
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Publ. Info: Rocky Mountain Mathematics Consortium
Pages: - Volume / Issue: 49 (4) Sequence Number: - Start / End Page: 1093 - 1110 Identifier: -