The theory of Schur polynomials revisited

TL;DR

This paper revisits the theory of Schur polynomials by providing concise, uniform proofs of key results using Young's raising operators, enhancing understanding of symmetric functions.

Contribution

It introduces a unified proof approach for classical Schur polynomial results based on Young's raising operators, starting from the Jacobi-Trudi identity.

Findings

Simplified proofs of known Schur polynomial identities

Enhanced understanding of symmetric functions

New perspective using Young's raising operators

Abstract

We use Young's raising operators to give short and uniform proofs of several well known results about Schur polynomials and symmetric functions, starting from the Jacobi-Trudi identity.