Geodesic
Crystal Analysis of Type C Stanley Symmetric Functions
Séminaire lotharingien de combinatoire, 78B (2017)

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. 

@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},
     publisher = {mathdoc},
     volume = {78B},
     year = {2017},
     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
PB  - mathdoc
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
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SLC_2017_78B_a7/
%F SLC_2017_78B_a7
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/