Séminaire Lotharingien de Combinatoire, 82B.54 (2019), 12 pp.
Ben Salisbury and Travis Scrimshaw
Candidate for the crystal B(-\infty) for the queer Lie superalgebra
Abstract.
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.
Received: November 15, 2018.
Accepted: February 17, 2019.
Final version: April 1, 2019.
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