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Some Properties of Orbital Varieties in Extremal Nilpotent Orbits
The intersection between a nilpotent orbit of a simple Lie algebra and a Borel subalgebra is always equidimensional. Its irreducible components are called orbital varieties. Orbital varieties belonging to different nilpotent orbits may have quite different behaviours. The orbital varieties of the subregular nilpotent orbit are always smooth but they …