Séminaire Lotharingien de Combinatoire, 80B.35 (2018), 12 pp.

Jackson A. Criswell, Ben Salisbury and Peter Tingley

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.

Received: November 14, 2017. Accepted: February 17, 2018. Final version: April 1, 2018.

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