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The main result in this paper is the generalization of the Kostant-Rallismultiplicity formula to general {\theta}--groups (in the sense of Vinberg). Thespecial cases of the two most interesting examples one for $E_6$ (three qubits)and one for $E_8$ are given explicit formulas.

An analogue of the Kostant-Rallis multiplicity theorem for $\theta$-group harmonics