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One associates with $\\Psi$ an infinite dimensional Koszul algebra $\\bold S_\\Psi^{\\lie g}$ which is a graded subalgebra of the locally finite part of $((\\bold V)^{op}\\tensor S(\\lie g))^{\\lie g}$, where $\\bold V$ is the direct sum of all simple finite dimensional $\\lie g$-modules. We describe the structure of the algebra $\\bold S_\\Psi^{\\lie g}$ explicitly in terms of an infinite quiver with relations for $\\lie g$ of types $A$ and $C$. 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