Determinantal identities for flagged Schur and Schubert polynomials

TL;DR

This paper establishes new determinantal identities for flagged Schur polynomials and derives determinantal formulas for Schubert polynomials associated with specific vexillary permutations.

Contribution

It introduces novel determinantal identities for flagged Schur polynomials and applies them to express certain Schubert polynomials in a determinantal form.

Findings

New determinantal identities for flagged Schur polynomials

Determinantal expressions for Schubert polynomials of vexillary permutations

Enhanced understanding of polynomial identities in algebraic combinatorics

Abstract

We prove new determinantal identities for a family of flagged Schur polynomials. As a corollary of these identities we obtain determinantal expressions of Schubert polynomials for certain vexillary permutations.