English

Dual Grothendieck polynomials via last-passage percolation

Combinatorics 2020-02-25 v1 Probability

Abstract

The ring of symmetric functions has a basis of dual Grothendieck polynomials that are inhomogeneous KK-theoretic deformations of Schur polynomials. We prove that dual Grothendieck polynomials determine column distributions for a directed last-passage percolation model.

Keywords

Cite

@article{arxiv.2002.10086,
  title  = {Dual Grothendieck polynomials via last-passage percolation},
  author = {Damir Yeliussizov},
  journal= {arXiv preprint arXiv:2002.10086},
  year   = {2020}
}