  The purpose of this paper is to study generalizations of Gamma-homology in
the context of operads. Good homology theories are associated to operads under
appropriate cofibrancy hypotheses, but this requirement is not satisfied by
usual operads outside the characteristic zero context. In that case, the idea
is to pick a cofibrant replacement Q of the given operad P. We can apply to
P-algebras the homology theory associated to Q in order to define a suitable
homology theory on the category of P-algebras. We make explicit a small complex
to compute this homology when the operad P is binary and Koszul. In the case of
the commutative operad P=Com, we retrieve the complex introduced by Robinson
for the Gamma-homology of commutative algebras.
