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On a classification of irreducible admissible modulo $p$ representations of a $p$-adic split reductive group

Part of: Lie groups

Published online by Cambridge University Press:  09 October 2013

Noriyuki Abe
Noriyuki Abe*
Affiliation:
Creative Research Institution (CRIS), Hokkaido University, N21, W10, Kita-ku, Sapporo, Hokkaido 001-0021, Japan email abenori@math.sci.hokudai.ac.jp
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Abstract

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We give a classification of irreducible admissible modulo $p$ representations of a split$p$-adic reductive group in terms of supersingular representations. This is a generalization of a theorem of Herzig.

Keywords

p-adic groupmodulo p representationclassification

MSC classification

Secondary: 22E50: Representations of Lie and linear algebraic groups over local fields
Type
Research Article
Information
Compositio Mathematica , Volume 149 , Issue 12 , December 2013 , pp. 2139 - 2168
Copyright
© The Author(s) 2013 

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