On a Theorem of N. Katz and bases in irreducible representations

David Kazhdan*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

1 Scopus citations

Abstract

N. Katz has shown that any irreducible representation of the Galois group of Fq((t)) has unique extension to a special representation of the Galois group of k (t) unramified outside 0 and ∞ and tamely ramified at ∞. In this chapter, we analyze the number of not necessarily special such extensions and relate this question to a description of bases in irreducible representations of multiplicative groups of division algebras

Original languageEnglish
Title of host publicationFrom Fourier Analysis and Number Theory to Radon Transforms and Geometry
Subtitle of host publicationIn Memory of Leon Ehrenpreis
EditorsHershel Farkas, Marvin Knopp, Robert Gunning, B.A Taylor
Pages335-340
Number of pages6
DOIs
StatePublished - 2013

Publication series

NameDevelopments in Mathematics
Volume28
ISSN (Print)1389-2177

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