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We construct a map of Lie algebras $\\Psi: \\H_{2\\ast} (L M) \\to {\\o}(\\Mc)$, where $\\H_{2\\ast} (LM)$ is the even dimensional part of the equivariant homology of $LM$, the free loop space of $M$, and $\\Mc$ is the Maurer-Cartan moduli space of the graded differential Lie algebra $\\Omega^\\ast (M, \\adp)$, the differential forms with values in the associated adjoint bundle of $P$. For a 2-dimensional manifold $M$, our Lie algebra map reduces to that constructed by Goldman in \\cite{G2}. 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