Some new identities for Schur polynomials

TL;DR

This paper derives new identities involving Schur polynomials, expanding the classical Cauchy identities to both bounded and unbounded cases, thus advancing the theoretical understanding of symmetric functions.

Contribution

It introduces novel bounded and unbounded generalizations of the Cauchy identities for Schur polynomials, providing new theoretical tools.

Findings

New identities for Schur polynomials established

Generalizations extend classical Cauchy identities

Theoretical framework for symmetric functions enhanced

Abstract

For the Schur polynomials bounded and unbounded generalizations of the Cauchy identities are found.