Ž. Ž We study the structure of hypersurface orbital varieties of sl N, ރ those that . are hypersurfaces in the nilradical of some parabolic subalgebra and how information about this structure is encoded in the standard Young tableau associated to it by the Robinson᎐Schensted algorithm. We present a conjecture for the exact form of the unique non-linear defining equations of hypersurface orbital varieties and proofs of the conjecture in certain cases.
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