On the action of Hecke operators on Drinfeld modular forms
Number Theory
2014-01-21 v5
Abstract
In this paper we determine the explicit structure of the semisimple part of the Hecke algebra that acts on Drinfeld modular forms of full level modulo T . We use computations of the Hecke action modulo T to find Drinfeld modular forms that cannot be eigenforms. Finally, we conjecture that the Hecke algebra that acts on Drinfeld modular forms of full level is not smooth for large weight.
Keywords
Cite
@article{arxiv.1304.0101,
title = {On the action of Hecke operators on Drinfeld modular forms},
author = {Kirti Joshi and Aleksandar Petrov},
journal= {arXiv preprint arXiv:1304.0101},
year = {2014}
}
Comments
17 pages, fixed typos from the previous version