Santiago Molina Blanco
Published 2017-01-03Version 1
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.
Boundary and Eisenstein Cohomology of $\mr{SL}_3(\Z)$
Tame ramification and group cohomology
On the solutions of $\varphi(dn) = \varphi(d(n+h))$
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