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arXiv · 1701.00611

Eichler-Shimura isomorphism and group cohomology on arithmetic groups

Santiago Molina Blanco
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Abstract

The Eichler-Shimura isomorphism realizes the automorphic representation generated by an automorphic newform in certain cohomology of an arithmetic group. In this short note, we give a cohomological interpretation of the Eichler-Shimura isomorphism as a connection morphism of certain exact sequence of G-modules, for the multiplicative group G of any quaternion algebra over a totally real field.

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Santiago Molina Blanco. 2017-01-03. Eichler-Shimura isomorphism and group cohomology on arithmetic groups. https://arxiv.org/abs/1701.00611

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