Langlands parameters for epipelagic representations of GLn

Let F be a non-Archimedean local field. An irreducible cuspidal representation of GL n ( F ) is epipelagic if its Swan conductor equals 1 . We give a full and explicit description of the Langlands parameters of such representations, in terms of elementary representation theory and local class field...

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Bibliographic Details
Published inMathematische annalen Vol. 358; no. 1-2; pp. 433 - 463
Main Authors Bushnell, Colin J., Henniart, Guy
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.02.2014
Subjects
Mathematics
Mathematics and Statistics
22E50
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Summary:Let F be a non-Archimedean local field. An irreducible cuspidal representation of GL n ( F ) is epipelagic if its Swan conductor equals 1 . We give a full and explicit description of the Langlands parameters of such representations, in terms of elementary representation theory and local class field theory.
ISSN:0025-5831
1432-1807
DOI:10.1007/s00208-013-0962-x