A Pieri Rule for Key Polynomials
Séminaire lotharingien de combinatoire, 80B (2018)
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We conjecture a cancellation-free expansion for the product of a key polynomial and a single row key polynomial, generalizing Pieri's rule for computing the product of a Schur function with a single row Schur function.
@article{SLC_2018_80B_a77,
author = {Sami Assaf and Danjoseph Quijada},
title = {A {Pieri} {Rule} for {Key} {Polynomials}},
journal = {S\'eminaire lotharingien de combinatoire},
publisher = {mathdoc},
volume = {80B},
year = {2018},
url = {http://geodesic.mathdoc.fr/item/SLC_2018_80B_a77/}
}
Sami Assaf; Danjoseph Quijada. A Pieri Rule for Key Polynomials. Séminaire lotharingien de combinatoire, 80B (2018). http://geodesic.mathdoc.fr/item/SLC_2018_80B_a77/