Hecke Operators on De Rham Cohomology
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.
Key words: Hecke operators, de Rham cohomology, automorphic forms.
2000 Mathematics Subject Classification:
58A12, 11F55.