PBW bases and marginally large tableaux in types B and C
arXiv:1708.04311 · doi:10.4153/CMB-2017-071-1
Abstract
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.
18 pages