D.J.Benson and J.P.C.Greenlees.
Commutative algebra for cohomology rings of classifying spaces of
compact Lie groups.
Submitted to J. Pure & Applied Algebra, 1996.
\begin{abstract}
We apply the techniques of highly structured rings and modules
to obtain results on the commutative algebra of the cohomology
of the classifying space of a compact Lie group. This generalizes results
of Benson--Carlson \cite{bc3,bc5} and Greenlees \cite{groupca} in the case
of finite groups. In particular, we prove a functional equation for the
Poincar\'e series in the oriented Cohen--Macaulay case.
\end{abstract}