Candidate for the crystal $B(-\infty)$ for the queer Lie superalgebra

21 Feb 2020 Salisbury Ben Scrimshaw Travis

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... (read more)

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Categories


  • COMBINATORICS
  • QUANTUM ALGEBRA
  • REPRESENTATION THEORY