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Bibliographic Details
Main Author: Hawkes, Graham
Format: Preprint
Published: 2021
Subjects:
Online Access:https://arxiv.org/abs/2108.00522
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Table of Contents:
  • 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.