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Paper detail

Saturation property fails for Schubert coefficients

The saturation property for Littlewood--Richardson coefficients was established by Knutson and Tao in 1999. In 2004, Kirillov conjectured that the saturation property extends to Schubert coefficients. We disprove this conjecture in a strong form, by showing that it fails for a large family of instances. We also refute the saturation property for Schubert coefficients under bit scaling and discuss computational complexity implications.

preprint2026arXivOpen access
Igor PakColleen Robichaux
math.CO
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Igor PakColleen Robichaux

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