Proves that increasing factorizations of FPF involution words carry queer supercrystal structure by bijection to primed tableaux using Marberg's symplectic shifted Hecke insertion.
Crystals and Schur $P$-positive expansions
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abstract
We give a new characterization of Littlewood-Richardson-Stembridge tableaux for Schur $P$-functions by using the theory of $\mf{q}(n)$-crystals. We also give alternate proofs of the Schur $P$-expansion of a skew Schur function due to Ardila and Serrano, and the Schur expansion of a Schur $P$-function due to Stembridge using the associated crystal structures.
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math.CO 1years
2019 1verdicts
UNVERDICTED 1representative citing papers
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Queer Supercrystal Structure for Increasing Factorizations of Fixed-Point-Free Involution Words
Proves that increasing factorizations of FPF involution words carry queer supercrystal structure by bijection to primed tableaux using Marberg's symplectic shifted Hecke insertion.