Sums of Schubert structure constants with bounded Coxeter length
Abstract
Pak–Robichaux recently introduced a signed puzzle rule for Schubert structure constants, which they use to show that sums γ k ( n ) of these constants with a bounded number of inversions are polynomial. We give a different, conceptual proof that γ k ( n ) is (eventually) polynomial, which computes its lead term and extends to all classical Lie types.
Fields of Study & Subjects
Advanced Combinatorial Mathematics
Advanced Algebra and Geometry
Algebraic structures and combinatorial models
Publication details
- Journal / source
- Algebraic Combinatorics
- Volume
- 9
- Issue
- 4
- Pages
- 893–900
- Publication date
- 2 September 2026
- Language
- EN