Candidate for the crystal B(- ∞) for the queer Lie superalgebra

Ben Salisbury, Travis Scrimshaw

Research output: Contribution to journalArticlepeer-review


It is shown that the direct limit of the semistandard decomposition tableau model for polynomial representations of the queer Lie superalgebra exists, which is believed to be the crystal for the upper half of the corresponding quantum group. An extension of this model to describe the direct limit combinatorially is given. Furthermore, it is shown that the polynomials representations may be recovered from the limit in most cases.

Original languageEnglish
Article number#54
JournalSeminaire Lotharingien de Combinatoire
Issue number82
StatePublished - 2019


  • crystal
  • decomposition tableau
  • queer Lie superalgebra


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