%0 Journal Article
%T Hecke operators on cohomology
%A Lee
%A Min Ho
%J Revista de la Uni£¿3n Matem£¿£¿tica Argentina
%D 2009
%I Uni¨®n Matem¨¢tica Argentina
%X hecke operators play an important role in the theory of automorphic forms, and automorphic forms are closely linked to various cohomology groups. this paper is mostly a survey of hecke operators acting on certain types of cohomology groups. the class of cohomology on which hecke operators are introduced includes the group cohomology of discrete subgroups of a semisimple lie group, the de rham cohomology of locally symmetric spaces, and the cohomology of symmetric spaces with coefficients in a system of local groups. we construct canonical isomorphisms among such cohomology groups and discuss the compatibility of the hecke operators with respect to those canonical isomorphisms.
%U http://www.scielo.org.ar/scielo.php?script=sci_abstract&pid=S0041-69322009000100011&lng=en&nrm=iso&tlng=en