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Theoretical analysis uncovers the eventual polynomiality and leading terms of bounded Schubert structure constant sums, suggesting universal behavior across all classical Lie types.
Pak–Robichaux recently introduced a signed puzzle rule for Schubert structure constants, which they use to show that sums γ k ( n ) of these constants with a bounded number of inversions are polynomial. We give a different, conceptual proof that γ k ( n ) is (eventually) polynomial, which computes its lead term and extends to all classical Lie types.
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Ada Stelzer (2026) studied this question.
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