Geodesic
Set-Valued Skyline Fillings
Séminaire lotharingien de combinatoire, 78B (2017)

Voir la notice de l'acte provenant de la source Séminaire Lotharingien de Combinatoire website

Set-valued tableaux play an important role in combinatorial K-theory. Separately, semistandard skyline fillings are a combinatorial model for Demazure atoms and key polynomials. We unify these two concepts by defining a set-valued extension of semistandard skyline fillings and we then give analogues of results of J. Haglund, K. Luoto, S. Mason, and S. van Willigenburg. Additionally, we give a bijection between set-valued semistandard Young tableaux and C. Lenart's Schur expansion of the Grothendieck polynomial Gλ, using the uncrowding operator of V. Reiner, B. Tenner, and A. Yong. 

@article{SLC_2017_78B_a34,
     author = {Cara Monical},
     title = {Set-Valued {Skyline} {Fillings}},
     journal = {S\'eminaire lotharingien de combinatoire},
     publisher = {mathdoc},
     volume = {78B},
     year = {2017},
     url = {http://geodesic.mathdoc.fr/item/SLC_2017_78B_a34/}
}
TY  - JOUR
AU  - Cara Monical
TI  - Set-Valued Skyline Fillings
JO  - Séminaire lotharingien de combinatoire
PY  - 2017
VL  - 78B
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SLC_2017_78B_a34/
ID  - SLC_2017_78B_a34
ER  - 
%0 Journal Article
%A Cara Monical
%T Set-Valued Skyline Fillings
%J Séminaire lotharingien de combinatoire
%D 2017
%V 78B
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SLC_2017_78B_a34/
%F SLC_2017_78B_a34
Cara Monical. Set-Valued Skyline Fillings. Séminaire lotharingien de combinatoire, 78B (2017). http://geodesic.mathdoc.fr/item/SLC_2017_78B_a34/