$P$-Schur positive $P$-Grothendieck Polynomials
Combinatorics
2024-12-31 v2
Abstract
The symmetric Grothendieck polynomials generalize Schur polynomials and are Schur-positive by degree. Combinatorially this is manifested as the generalization of semistandard Young tableaux by set-valued tableaux. We define a (weak) symmetric -Grothendieck polynomial which generalizes -Schur polynomials in the same way. Combinatorially this is manifested as the generalization of shifted semistandard Young tableaux by a new type of tableaux which we call shifted multiset tableaux.
Cite
@article{arxiv.2002.01384,
title = {$P$-Schur positive $P$-Grothendieck Polynomials},
author = {Graham Hawkes},
journal= {arXiv preprint arXiv:2002.01384},
year = {2024}
}