PBW bases and marginally large tableaux in types B and C

Published 14 Aug 2017 in math.CO and math.QA | (1708.04311v1)

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.

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