Vertex models for Canonical Grothendieck polynomials and their duals

TL;DR

This paper explores solvable lattice models linked to canonical Grothendieck polynomials and their duals, deriving key mathematical identities to advance understanding in algebraic combinatorics.

Contribution

It introduces new solvable lattice models for canonical Grothendieck polynomials and establishes fundamental inversion and Cauchy identities.

Findings

Derived inversion relations for the models

Established Cauchy identities for the polynomials

Connected lattice models to algebraic combinatorics

Abstract

We study solvable lattice models associated to canonical Grothendieck polynomials and their duals. We derive inversion relations and Cauchy identities.