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/}
}
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AU  - Sami Assaf
AU  - Nicolle S. González
TI  - Crystal Graphs, Key Tabloids, and Nonsymmetric Macdonald Polynomials
JO  - Séminaire lotharingien de combinatoire
PY  - 2018
VL  - 80B
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SLC_2018_80B_a80/
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%0 Journal Article
%A Sami Assaf
%A Nicolle S. González
%T Crystal Graphs, Key Tabloids, and Nonsymmetric Macdonald Polynomials
%J Séminaire lotharingien de combinatoire
%D 2018
%V 80B
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SLC_2018_80B_a80/
%F 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/