Corpus ID: 85521005

A bijective proof of the Cauchy identity for Grothendieck polynomials

@article{Numata2016ABP,
  title={A bijective proof of the Cauchy identity for Grothendieck polynomials},
  author={Yasuhide Numata},
  journal={arXiv: Combinatorics},
  year={2016}
}
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. 

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