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Abstract
A simple procedure is given for determining whether or not an arbitrary weight of a simple Lie algebra is contained in an arbitrary irreducible representation. The procedure involves two steps, determining the Weyl class of the weight and determining the classes contained in the representation. The second step applies without alteration to all simple algebras, while the first step is given here only for E8. The weights of the shortest 31 Weyl classes of E8 are listed in a convenient, orthogonal basis.
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