Reducible Galois Representations and the Homology of GL(3, ℤ)
نویسندگان
چکیده
منابع مشابه
Reducible Galois representations and the homology of GL(3,Z)
Let F̄p be an algebraic closure of a finite field of characteristic p. Let ρ be a continuous homomorphism from the absolute Galois group of Q to GL(3, F̄p) which is isomorphic to a direct sum of a character and a two-dimensional odd irreducible representation. Under the condition that the Serre conductor of ρ is squarefree, we prove that ρ is attached to a Hecke eigenclass in the homology of an a...
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We prove the following theorem: Let F be an algebraic closure of a finite field of characteristic p > 3. Let ρ be a continuous homomorphism from the absolute Galois group of Q to GL(3,F) which is isomorphic to a direct sum of a character and a two-dimensional odd irreducible representation. We assume that the image of ρ is contained in the intersection of the stabilizers of the line spanned by ...
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Let n ≥ 1 and F an algebraic closure of a finite field of characteristic p > n + 1. Let ρ : GQ → GL(n,F) be a Galois representation that is isomorphic to a direct sum of a collection of characters and an odd mdimensional representation τ . We assume that m = 2 or m is odd, and that τ is attached to a homology class in degree m(m−1)/2 of a congruence subgroup of GL(m,Z) in accordance with the ma...
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We prove the following theorem: Let F be an algebraic closure of a finite field of characteristic p > 3. Let ρ be a continuous homomorphism from the absolute Galois group of Q to GL(3,F) which is isomorphic to a direct sum of a character and a two-dimensional odd irreducible representation. We assume that the image of ρ is contained in the intersection of the stabilizers of the line spanned by ...
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ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2012
ISSN: 1687-0247,1073-7928
DOI: 10.1093/imrn/rns256