Year: 2026
Type: article
Abstract: Revisiting Kraśkiewicz and Pragacz’s construction of Schubert modules , we provide a new proof that their characters are equal to Schubert polynomials. The main innovation is a representation-theoretic interpretation of a recurrence relation for Schubert polynomials recently discovered by Nadeau, Spink, and Tewari. Along the way, we review several related constructions, and show that the Nadeau-Spink-Tewari recursion determines the characters of flagged Schur modules coming from the broader classes of transparent and translucent diagrams. We conclude with a conjecture concerning the Schubert positivity of the characters of transparent diagrams.
Source: Selecta Mathematica
Author: David Anderson
Institution: The Ohio State University
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,190
Funder: National Science Foundation
OpenAlex ID: W4402712263