We introduce Hecke operators on de Rham cohomology of compact oriented manifolds. When the manifold is a quotient of a Hermitian symmetric domain, we prove that certain types of such operators are compatible with the usual Hecke operators on automorphic forms.
@article{urn:eudml:doc:44521,
title = {Hecke operators on de Rham cohomology.},
journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
volume = {17},
year = {2004},
pages = {117-128},
zbl = {1054.58001},
mrnumber = {MR2063944},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44521}
}
Lee, Min Ho. Hecke operators on de Rham cohomology.. Revista Matemática de la Universidad Complutense de Madrid, Tome 17 (2004) pp. 117-128. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44521/