NDLI: Serre weights for quaternion algebras

Content Provider	Scilit
Author	Gee, Toby Savitt, David
Copyright Year	2011
Description	Journal: Compositio Mathematica We study the possible weights of an irreducible two-dimensional mod p representation of ${\rm Gal}(\overline {F}/F)$ 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.
Ending Page	1086
Starting Page	1059
ISSN	00221295
e-ISSN	15705846
DOI	10.1112/s0010437x1000518x
Journal	Compositio Mathematica
Issue Number	4
Volume Number	147
Language	English
Publisher	Wiley-Blackwell
Publisher Date	2011-02-09
Access Restriction	Open
Subject Keyword	Journal: Compositio Mathematica Serre Weights for Quaternion Algebras
Content Type	Text
Resource Type	Article
Subject	Algebra and Number Theory

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Serre weights for quaternion algebras