Hecke operators and Hilbert modular forms
Number Theory
2007-11-09 v1
Abstract
Let F be a real quadratic field with ring of integers O and with class number 1. Let Gamma be a congruence subgroup of GL_2 (O). We describe a technique to compute the action of the Hecke operators on the cohomology H^3 (Gamma; C). For F real quadratic this cohomology group contains the cuspidal cohomology corresponding to cuspidal Hilbert modular forms of parallel weight 2. Hence this technique gives a way to compute the Hecke action on these Hilbert modular forms.
Keywords
Cite
@article{arxiv.0711.1277,
title = {Hecke operators and Hilbert modular forms},
author = {Paul E. Gunnells and Dan Yasaki},
journal= {arXiv preprint arXiv:0711.1277},
year = {2007}
}