Only complex 2-step nilpotent Lie groups admit non-degenerate left-invariant Killing-Yano 2-forms; the space is one-dimensional for graph-derived complex cases.
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Killing-Yano 2-forms on 2-step nilpotent Lie groups
Only complex 2-step nilpotent Lie groups admit non-degenerate left-invariant Killing-Yano 2-forms; the space is one-dimensional for graph-derived complex cases.