Geodesic
PBW Bases and Marginally Large Tableaux in Types B and C
Séminaire lotharingien de combinatoire, 80B (2018)

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We explicitly describe the isomorphism between two combinatorial realizations of Kashiwara's infinity crystal in types B and C. The first realization is in terms of marginally large tableaux and the other is in terms of Kostant partitions coming from PBW bases. We also discuss a stack notation for Kostant partitions which simplifies that realization. 

@article{SLC_2018_80B_a34,
     author = {Jackson A. Criswell and Ben Salisbury and Peter Tingley},
     title = {PBW {Bases} and {Marginally} {Large} {Tableaux} in {Types} {B} and {C}},
     journal = {S\'eminaire lotharingien de combinatoire},
     publisher = {mathdoc},
     volume = {80B},
     year = {2018},
     url = {http://geodesic.mathdoc.fr/item/SLC_2018_80B_a34/}
}
TY  - JOUR
AU  - Jackson A. Criswell
AU  - Ben Salisbury
AU  - Peter Tingley
TI  - PBW Bases and Marginally Large Tableaux in Types B and C
JO  - Séminaire lotharingien de combinatoire
PY  - 2018
VL  - 80B
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SLC_2018_80B_a34/
ID  - SLC_2018_80B_a34
ER  - 
%0 Journal Article
%A Jackson A. Criswell
%A Ben Salisbury
%A Peter Tingley
%T PBW Bases and Marginally Large Tableaux in Types B and C
%J Séminaire lotharingien de combinatoire
%D 2018
%V 80B
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SLC_2018_80B_a34/
%F SLC_2018_80B_a34
Jackson A. Criswell; Ben Salisbury; Peter Tingley. PBW Bases and Marginally Large Tableaux in Types B and C. Séminaire lotharingien de combinatoire, 80B (2018). http://geodesic.mathdoc.fr/item/SLC_2018_80B_a34/