Modular Representations of GL(3, Fp), Sy
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Avner Ash; Pham Huu Tiep
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Article
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1999
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Elsevier Science
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English
β 190 KB
We prove certain cases of nonabelian reciprocity between mod p Galois representations and Hecke eigenclasses in the mod p cohomology of GL 3 , using the symmetric square liftings from GL 2 and congruences on Hecke eigenvalues. We need to develop some modular representation theory for GL 3 /p . In so