A bijective proof of the Cauchy identity for Grothendieck polynomials
Combinatorics
2016-04-04 v1 K-Theory and Homology
Abstract
We consider pairs of a set-valued column-strict tableau and a reverse plane partition of the same shape. We introduce algortithms for them, which implies a bijective proof for the finite sum Cauchy identity for Grothendieck polynomials and dual Grothendieck polynomials.
Keywords
Cite
@article{arxiv.1604.00104,
title = {A bijective proof of the Cauchy identity for Grothendieck polynomials},
author = {Yasuhide Numata},
journal= {arXiv preprint arXiv:1604.00104},
year = {2016}
}