Open AccessHecke operators on de Rham cohomology.
Author(s) -
Min Ho Lee
Publication year - 2004
Publication title -
revista matemática complutense
Language(s) - English
Resource type - Journals
eISSN - 1696-8220
pISSN - 1139-1138
DOI - 10.5209/rev_rema.2004.v17.n1.16786
Subject(s) - mathematics , pure mathematics , de rham cohomology , cohomology , quotient , manifold (fluid mechanics) , hermitian matrix , operator theory , algebra over a field , equivariant cohomology , mechanical engineering , engineering
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