Saturation property fails for Schubert coefficients
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. We also discuss computational complexity implications.
Fields of Study & Subjects
Advanced Combinatorial Mathematics
Commutative Algebra and Its Applications
Polynomial and algebraic computation
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 7 January 2026
- Document type
- Preprint