Work

Signed puzzles for Schubert coefficients

Year: 2026

Type: article

Abstract: 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.

Source: Algebraic Combinatorics

DOI: 10.5802/alco.517

Authors: Igor Pak, Colleen Robichaux

Institutions: University of California, Los Angeles, University of California, Davis

Language: English

Topic: Advanced Combinatorial Mathematics

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: National Science Foundation

Awards: Collaborative Research: AF: Small: Computational Complexity and Algebraic Combinatorics, Collaborative Research: AF: Small: Combinatorial Complexity Problems, PostDoctoral Research Fellowship