Geodesic
Crystal Analysis of Type C Stanley Symmetric Functions
Séminaire lotharingien de combinatoire, 78B (2017) 
Graham Hawkes; Kirill Paramonov; Anne Schilling. Crystal Analysis of Type C Stanley Symmetric Functions. Séminaire lotharingien de combinatoire, 78B (2017). http://geodesic.mathdoc.fr/item/SLC_2017_78B_a7/
@article{SLC_2017_78B_a7,
     author = {Graham Hawkes and Kirill Paramonov and Anne Schilling},
     title = {Crystal {Analysis} of {Type} {C} {Stanley} {Symmetric} {Functions}},
     journal = {S\'eminaire lotharingien de combinatoire},
     year = {2017},
     volume = {78B},
     url = {http://geodesic.mathdoc.fr/item/SLC_2017_78B_a7/}
}
TY  - JOUR
AU  - Graham Hawkes
AU  - Kirill Paramonov
AU  - Anne Schilling
TI  - Crystal Analysis of Type C Stanley Symmetric Functions
JO  - Séminaire lotharingien de combinatoire
PY  - 2017
VL  - 78B
UR  - http://geodesic.mathdoc.fr/item/SLC_2017_78B_a7/
ID  - SLC_2017_78B_a7
ER  - 
%0 Journal Article
%A Graham Hawkes
%A Kirill Paramonov
%A Anne Schilling
%T Crystal Analysis of Type C Stanley Symmetric Functions
%J Séminaire lotharingien de combinatoire
%D 2017
%V 78B
%U http://geodesic.mathdoc.fr/item/SLC_2017_78B_a7/
%F SLC_2017_78B_a7

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

Combining results of T. K. Lam and J. Stembridge, the type C Stanley symmetric function FwC(x), indexed by an element w in the type C Coxeter group, has a nonnegative integer expansion in terms of Schur functions. We provide a crystal theoretic explanation of this fact and give an explicit combinatorial description of the coefficients in the Schur expansion in terms of highest weight crystal elements.