Hecke operators on de Rham cohomology.

Lee, Min Ho. "Hecke operators on de Rham cohomology.." Revista Matemática Complutense 17.1 (2004): 117-128. <http://eudml.org/doc/44521>.

@article{Lee2004,
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.},
author = {Lee, Min Ho},
journal = {Revista Matemática Complutense},
keywords = {Teoría de formas automórficas; Operadores de Hecke; Cohomología de de Rham; Hecke operators on cohomology; de Rham cohomology; compact oriented manifolds; automorphic forms; Hermitian symmetric domain; pair of covering maps; quotients of universal covering space; discrete subgroup of diffeomorphisms; semisimple Lie group; space of modular forms of weight one},
language = {eng},
number = {1},
pages = {117-128},
title = {Hecke operators on de Rham cohomology.},
url = {http://eudml.org/doc/44521},
volume = {17},
year = {2004},
}

TY - JOUR
AU - Lee, Min Ho
TI - Hecke operators on de Rham cohomology.
JO - Revista Matemática Complutense
PY - 2004
VL - 17
IS - 1
SP - 117
EP - 128
AB - 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.
LA - eng
KW - Teoría de formas automórficas; Operadores de Hecke; Cohomología de de Rham; Hecke operators on cohomology; de Rham cohomology; compact oriented manifolds; automorphic forms; Hermitian symmetric domain; pair of covering maps; quotients of universal covering space; discrete subgroup of diffeomorphisms; semisimple Lie group; space of modular forms of weight one
UR - http://eudml.org/doc/44521
ER -