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Let g be a complex Lie-algebra, G its adjoint algebraic group, and the space of primitive ideals in the enveloping algebra of ℷ. For solvable ℷ, J. Dixmier has defined a map from the dual space g* into, and R. Rentschler has proved the injectivity of the corresponding map g*/ G→ defined on the space of orbits of G in g*. The aim of the present paper is to define a similar map g*/ G→ for g= sl( n, C). In a joint paper with J. C. Jantzen we shall prove that it is also injective. [ABSTRACT FROM AUTHOR]