We check that the statement of Hikita conjecture holds for the case of the minimal nilpotent orbit of a simple Lie algebra $\mathfrak{g}$ of type ADE and $\mathbb{C} ^2 / \Gamma$.
Projections of the minimal nilpotent orbit in a simple Lie algebra and secant varieties
Projections of nilpotent orbits in a simple Lie algebra and shared orbits
Quantization of the minimal nilpotent orbits and the equivariant Hikita conjecture
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