Crystals and Schur $P$-Positive Expansions

Seung-Il Choi, Jae-Hoon Kwon

Abstract


We give a new characterization of Littlewood-Richardson-Stembridge tableaux for Schur $P$-functions by using the theory of $\mathfrak{q}(n)$-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.


Keywords


Schur P-function, Crystals, Littlewood-Richardson rule

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