Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772609 | Journal of Number Theory | 2017 | 17 Pages |
Abstract
In this article, we give a group cohomological interpretation to the Eichler-Shimura isomorphism. For any quaternion algebra A over a totally real field with multiplicative group G, we interpret a weight (k1,k2,â¯,kd)-automorphic form of G as a G(F)-invariant homomorphism of (Gâ,Kâ)-modules. Then the Eichler-Shimura isomorphism is given by the connection morphism provided by the natural exact sequences defining the (Gâ,Kâ)-module of discrete series of weight (k1,k2,â¯,kd).
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Santiago Molina,