P-Schur positive P-Grothendieck polynomials

Hawkes, Graham

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Journal Article

P-Schur positive P-Grothendieck polynomials

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Hawkes, Graham
Max Planck Institute for Mathematics, Max Planck Society;

External Resource

https://ajc.maths.uq.edu.au/pdf/85/ajc_v85_p106.pdf
(Publisher version)

https://doi.org/10.48550/arXiv.2002.01384
(Preprint)

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Hawkes_P-Schur positive P-Grothendieck polynomials_2023.pdf
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Citation

Hawkes, G. (2023). P-Schur positive P-Grothendieck polynomials. Australasian Journal of Combinatorics, 85(2), 106-130.

Cite as: https://hdl.handle.net/21.11116/0000-000C-BC60-4

Abstract

The symmetric Grothendieck polynomials generalize Schur polynomi-
als and are Schur-positive by degree. Combinatorially this is mani-
fested as the generalization of semistandard Young tableaux by set-valued
tableaux. We define a (weak) symmetric P -Grothendieck polynomial
which generalizes P -Schur polynomials in the same way. Combinatori-
ally this is manifested as the generalization of shifted semistandard Young
tableaux by a new type of tableau which we call shifted multiset tableaux.