Central Pairs, Galois Theory and Automorphic Forms |
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Authors: | Hans Opolka |
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Affiliation: | (1) TU Braunschweig, Pockelsstrasse 14, D-38106 Braunschweig, Germany |
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Abstract: | A central pair over a field k of characteristic 0 consists of a finite Abelian group which is equipped with a central 2-cocycle with values in the multiplicative group k* of k. In this paper we use specific central pairs to construct a class of projective representations of the absolute Galois group Gk of k and if k is a number field we investigate the liftings of these projective representations to linear representations of Gk. In particular we relate these linear representations to automorphic representations. It turns out that some of these automorphic representations correspond to certain indefinite modular forms already constructed by E. Hecke. |
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Keywords: | Galois cohomology projective representations algebras |
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