PBW bases and marginally large tableaux in types B and C

Jackson A. Criswell, Benjamin Salisbury

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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.

Original languageEnglish
Pages (from-to)37-54
JournalCanad. Math. Bull.
Issue number1
StatePublished - 2019

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