PBW bases and marginally large tableaux in types B and C

Jackson A. Criswell, Ben Salisbury, Peter Tingley

Research output: Contribution to conferencePaperpeer-review

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
StatePublished - 2018
Event30th international conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2018 - Hanover, United States
Duration: Jul 16 2018Jul 20 2018

Conference

Conference30th international conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2018
Country/TerritoryUnited States
CityHanover
Period07/16/1807/20/18

Keywords

  • Crystal
  • Kostant partition
  • PBW basis
  • Young tableaux

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