Filtrations and recursions for Schubert modules
Abstract
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.
Fields of Study & Subjects
Commutative Algebra and Its Applications
Advanced Algebra and Geometry
Holomorphic and Operator Theory
Publication details
- Journal / source
- Selecta Mathematica
- Publisher
- Springer Science and Business Media LLC
- Volume
- 32
- Issue
- 4
- Publication date
- 3 August 2026
- Language
- EN