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In the context of affine complex Kac-Moody algebras, we define the meaning ofnilpotent orbits under the adjoint action of the maximal Kac-Moody group. Wealso give a parameterization of nilpotent orbits of$\mathfrak{sl}_n^{(1)}(\mathbb C)$.

Nilpotent orbits of Kac-Moody algebras and its parameterization for $\mathfrak{sl}_n^{(1)}(\mathbb C)$