PBW bases and marginally large tableaux in types B and C
Jackson Criswell, Ben Salisbury, and Peter Tingley

TL;DR
This paper establishes an explicit isomorphism between two combinatorial models of Kashiwara's infinity crystal in types B and C, involving marginally large tableaux and Kostant partitions from PBW bases, with a simplified stack notation.
Contribution
It provides a new explicit description of the isomorphism between combinatorial realizations of Kashiwara's crystal in types B and C, introducing a stack notation for Kostant partitions.
Findings
Explicit isomorphism between marginally large tableaux and Kostant partitions.
Introduction of a stack notation simplifying Kostant partition realization.
Enhanced understanding of crystal structures 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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
