Unified framework for tableau models of Grothendieck Polynomials
DOI:
https://doi.org/10.55016/ojs/cdm.v19i3.74031Abstract
We give combinatorial proofs of two types of duality for Grothendieck polynomials by constructing a unified combinatorial\\ framework incorporating set-valued tableaux, multiset-valued tableaux, reverse plane partitions and valued-set tableaux. Importantly, our proofs extend to proofs of these dualities for the refined Grothendieck polynomials. The second of these dualities was formerly unknown for the refined case.
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