Eichler-Shimura isomorphism and group cohomology on arithmetic groups
Number Theory
2017-01-04 v1
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.
Cite
@article{arxiv.1701.00611,
title = {Eichler-Shimura isomorphism and group cohomology on arithmetic groups},
author = {Santiago Molina Blanco},
journal= {arXiv preprint arXiv:1701.00611},
year = {2017}
}