Yang-Baxter equation, symmetric functions and 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.

25 pages

Cited by in corpus (10)

• A Thom-Porteous formula for connective K-theory using algebraic cobordism
• Notes on Schubert, Grothendieck and Key Polynomials
• On Some Quadratic Algebras I $\frac{1}{2}$: Combinatorics of Dunkl and Gaudin Elements, Schubert, Grothendieck, Fuss-Catalan, Universal Tutte and Reduced Polynomials
• Schubert puzzles and integrability I: invariant trilinear forms
• Frozen Pipes: Lattice Models for Grothendieck Polynomials
• Generalised symplectic Schubert classes
• Loop Models and $K$-Theory
• Inhomogeneous spin $q$-Whittaker polynomials
• Slide polynomials and subword complexes
• Factorial Grothendieck Polynomials