Simultaneous computation of Hecke operators
Number Theory
2018-04-18 v1
Abstract
We present a method to compute two Hecke operators acting on a space of algebraic modular forms simultaneously based on an idea of Eichler's. We show that in certain cases this method can be used to obtain the action of the full Hecke algebra with respect to a hyperspecial subgroup and use it to compute Hecke eigenforms for compact forms of symplectic groups.
Keywords
Cite
@article{arxiv.1612.08659,
title = {Simultaneous computation of Hecke operators},
author = {Sebastian Schönnenbeck},
journal= {arXiv preprint arXiv:1612.08659},
year = {2018}
}