For types A, B, C, and D, the sum of Schubert structure constants with Coxeter length k is eventually polynomial in n with leading term (2n)^k divided by k!.
Representations of quantum groups at a pth root of unity and of semisimple groups in characteristic p: independence of p , Astrisque No
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Sums of Schubert structure constants with bounded Coxeter length
For types A, B, C, and D, the sum of Schubert structure constants with Coxeter length k is eventually polynomial in n with leading term (2n)^k divided by k!.