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One basis is indexed by $\\Lambda^+$, the set of dominant weights of $G$, and the other by $\\Omega$, the set of pairs $(\\mathcal{O}, \\mathcal{E})$ consisting of a nilpotent orbit $\\mathcal{O} \\subset \\mathcal{N}$ and an irreducible $G$-equivariant vector bundle $\\mathcal{E} \\rightarrow \\mathcal{O}$. 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