DOI: 10.5802/alco.517 ISSN: 2589-5486

Signed puzzles for Schubert coefficients

Igor Pak, Colleen Robichaux

We give a signed puzzle rule to compute Schubert coefficients. The rule is based on a careful analysis of Knutson’s recurrence [12]. We use the rule to prove polynomiality of the sums of Schubert coefficients with bounded number of inversions.

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