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.
The following versions are available: