Séminaire Lotharingien de Combinatoire, 80B.62 (2018), 12 pp.

Seung-Il Choi and Jae-Hoon Kwon

Crystals and Schur P-positive Expansions

Abstract. We give a new characterization of Littlewood-Richardson-Stembridge tableaux for Schur P-functions by using the theory of 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.


Received: November 14, 2017. Accepted: February 17, 2018. Final version: April 1, 2018.

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