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.
Multiplicative partition functions for reverse plane partitions derived from an integrable dynamical system
A bijective proof for a theorem of Ehrhart
A Bijective Proof of a Major Index Theorem of Garsia and Gessel
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