Yang-Baxter equation, symmetric functions and Grothendieck polynomials

TL;DR

This paper introduces a novel approach to Grothendieck polynomials using an exponential solution to the Yang-Baxter equation within the algebra of projectors, advancing the theoretical framework of these polynomials.

Contribution

It presents a new development in Grothendieck polynomial theory by leveraging solutions to the Yang-Baxter equation in an algebraic setting.

Findings

Established a connection between Yang-Baxter solutions and Grothendieck polynomials.

Developed an exponential solution framework within the algebra of projectors.

Enhanced the theoretical understanding of Grothendieck polynomials.

Abstract

New development of the theory of Grothendieck polynomials, based on an exponential solution of the Yang-Baxter equation in the algebra of projectors are given.