LIE-ALGEBRAS OF DERIVATIONS OF CERTAIN PURE ALGEBRAS

Let E(X) be the H-space of homotopy self-equivalences which are homotopic to the identity of a homogeneous Kahler manifold with maximal rank. The Lie algebra of derivations of a pure differential graded algebra with zero homotopy Euler characteristic allows us to use Sullivan's minimal model to study the rational homotopy theory of E(X). As an application we compute dim (pi(*)(E(X)) circle times Q) in the case when X is a certain flag manifold.