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arxiv: 1707.02513 · v1 · pith:FDKP6RJ5new · submitted 2017-07-09 · 🧮 math.RT · math.CO

Crystals and Schur P-positive expansions

Seung-Il Choi , Jae-Hoon Kwon This is my paper
classification 🧮 math.RT math.CO
keywords schurcrystalsexpansionfunctiongivealternateardilaassociated
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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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  1. Queer Supercrystal Structure for Increasing Factorizations of Fixed-Point-Free Involution Words

    math.CO 2019-07 unverdicted novelty 5.0

    Proves that increasing factorizations of FPF involution words carry queer supercrystal structure by bijection to primed tableaux using Marberg's symplectic shifted Hecke insertion.