PBW Bases and Marginally Large Tableaux in Types B and C
Séminaire lotharingien de combinatoire, 80B (2018)
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},
year = {2018},
volume = {80B},
url = {http://geodesic.mathdoc.fr/item/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/