@article{db1431aa643c4b0d91f577cd3432ff66,
title = "PBW Bases and Marginally Large Tableaux in Types B and C",
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.",
keywords = "crystal, Kostant partition, Lusztig data, marginally large tableau",
author = "Criswell, {Jackson A.} and Ben Salisbury and Peter Tingley",
note = "Funding Information: Received by the editors August 21, 2017. Published electronically May 24, 2018. B.S. was partially supported by Simons Foundation grant #429950. P.T. was partially supported by NSF grant DMS-1265555. AMS subject classification: 05E10, 17B37. Keywords: crystal, Kostant partition, Lusztig data, marginally large tableau. Publisher Copyright: {\textcopyright} 2018 Canadian Mathematical Society.",
year = "2019",
month = mar,
day = "1",
doi = "10.4153/CMB-2017-071-1",
language = "English",
volume = "62",
pages = "37--54",
journal = "Canadian Mathematical Bulletin",
issn = "0008-4395",
number = "1",
}