Serre weights for quaternion algebras
نویسندگان
چکیده
منابع مشابه
Serre Weights for Quaternion Algebras
We study the possible weights of an irreducible 2-dimensional mod p representation of Gal(F/F ) which is modular in the sense of 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 ...
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The additive identity is (0, 0), the multiplicative identity is (1, 0), and from addition and scalar multiplication of real vectors we have (a, b) = (a, 0) + (0, b) = a(1, 0) + b(0, 1), which looks like a+ bi if we define i to be (0, 1). Real numbers occur as the pairs (a, 0). Hamilton asked himself if it was possible to multiply triples (a, b, c) in a nice way that extends multiplication of co...
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ژورنال
عنوان ژورنال: Compositio Mathematica
سال: 2011
ISSN: 0010-437X,1570-5846
DOI: 10.1112/s0010437x1000518x