Saturation property fails for Schubert coefficients

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Authors: Igor Pak, Colleen Robichaux
Cited by: 1
References: 37

Abstract

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.

Fields of Study & Subjects

Holomorphic and Operator Theory Geometry and complex manifolds Advanced Banach Space Theory

Publication details

Journal / source
Proceedings of the American Mathematical Society
Publisher
American Mathematical Society (AMS)
Publication date
24 June 2026
Language
EN