Open AccessCentral Characters for Smooth Irreducible Modular Representations of GL$_2$ ($Q_p$)
Author(s) -
Laurent Berger
Publication year - 2012
Publication title -
rendiconti del seminario matematico della università di padova
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 24
eISSN - 0373-319X
pISSN - 0041-8994
DOI - 10.4171/rsmup/128-1
Subject(s) - irreducible representation , character (mathematics) , mathematics , representation (politics) , modular design , pure mathematics , combinatorics , algebra over a field , computer science , geometry , politics , political science , law , operating system
We prove that every smooth irreducible F_p^alg-linear representation of GL_2(Q_p) admits a central character.
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