Crystal Graphs, Key Tabloids, and Nonsymmetric Macdonald Polynomials
Séminaire lotharingien de combinatoire, 80B (2018)
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We construct a Demazure crystal for nonsymmetric Macdonald polynomials specialized at t=0, giving a new proof that these specialized nonsymmetric Macdonald polynomials are graded sums of Demazure characters.
@article{SLC_2018_80B_a80,
author = {Sami Assaf and Nicolle S. Gonz\'alez},
title = {Crystal {Graphs,} {Key} {Tabloids,} and {Nonsymmetric} {Macdonald} {Polynomials}},
journal = {S\'eminaire lotharingien de combinatoire},
publisher = {mathdoc},
volume = {80B},
year = {2018},
url = {http://geodesic.mathdoc.fr/item/SLC_2018_80B_a80/}
}
Sami Assaf; Nicolle S. González. Crystal Graphs, Key Tabloids, and Nonsymmetric Macdonald Polynomials. Séminaire lotharingien de combinatoire, 80B (2018). http://geodesic.mathdoc.fr/item/SLC_2018_80B_a80/