PBW Bases and Marginally Large Tableaux in Types B and C

Jackson A. Criswell, Ben Salisbury, Peter Tingley

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

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.

Original languageEnglish
Pages (from-to)37-54
Number of pages18
JournalCanadian Mathematical Bulletin
Volume62
Issue number1
DOIs
StatePublished - Mar 1 2019

Keywords

  • Kostant partition
  • Lusztig data
  • crystal
  • marginally large tableau

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