%0 Journal Article %T The -homology of representations %A Bratten %A Tim %J Revista de la Uni£¿3n Matem£¿£¿tica Argentina %D 2008 %I Uni¨®n Matem¨¢tica Argentina %X the -homology groups of a -module provide a natural and fruitful extension of the concept of highest weight to the representation theory of a noncompact reductive lie group. in this article we give an introduction to the -homology groups and a survey of some developments, with a particular emphasis on results pertaining to the problem of caculating -homology groups. %U http://www.scielo.org.ar/scielo.php?script=sci_abstract&pid=S0041-69322008000100011&lng=en&nrm=iso&tlng=en