Full paper in PDF:
$% M. H. Lee, Hecke operators on de Rham cohomology, Rev. Mat. Complut. 17 (2004), 117–128.%$

Hecke Operators on De Rham Cohomology

Min Ho LEE
Department of Mathematics,
University of Northern Iowa,
Cedar Falls, IA 50614 — USA
lee@math.uni.edu

Received: January 8, 2003
Accepted: July 31, 2003
ABSTRACT

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.