Serre weights for quaternion algebras

Toby Gee, David L Savitt

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

We study the possible weights of an irreducible two-dimensional mod p representation of Gal(F̄/F) which is modular in the sense that it comes from an automorphic form on a definite quaternion algebra with centre F which is ramified at all places dividing p, where F is a totally real field. In most cases we determine the precise list of possible weights; in the remaining cases we determine the possible weights up to a short and explicit list of exceptions.

Original languageEnglish (US)
Pages (from-to)1059-1086
Number of pages28
JournalCompositio Mathematica
Volume147
Issue number4
DOIs
StatePublished - Jul 2011

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Quaternion Algebra
Automorphic Forms
Exception

Keywords

  • Breuil modules
  • Galois representations
  • quaternion algebras
  • Serre weights

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

Serre weights for quaternion algebras. / Gee, Toby; Savitt, David L.

In: Compositio Mathematica, Vol. 147, No. 4, 07.2011, p. 1059-1086.

Research output: Contribution to journalArticle

Gee, Toby ; Savitt, David L. / Serre weights for quaternion algebras. In: Compositio Mathematica. 2011 ; Vol. 147, No. 4. pp. 1059-1086.
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