Unified framework for tableau models of Grothendieck polynomials
Combinatorics
2024-12-31 v2
Abstract
We give combinatorial proofs of two types of duality for Grothendieck polynomials by constructing a unified combinatorial framework incorporating set-valued tableaux, musltiset-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.
Keywords
Cite
@article{arxiv.2108.00522,
title = {Unified framework for tableau models of Grothendieck polynomials},
author = {Graham Hawkes},
journal= {arXiv preprint arXiv:2108.00522},
year = {2024}
}