Given a finite subgroup of SL 3 C, we determine how an arbitrary finite dimensional irreducible representation of SL 3 C decomposes under the action of . To the subgroup we associate a generalized McKay matrix C . Then, generalizing a method used by B. Kostant for SL 2 C, we decompose C as a sum of products of reflections associated to mutually orthogonal roots: this is a sort of algebraic McKay correspondence in dimension 3.
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