Crystals and Schur $P$-Positive Expansions

  • Seung-Il Choi
  • Jae-Hoon Kwon
Keywords: Schur P-function, Crystals, Littlewood-Richardson rule

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.

Published
2018-07-13
Article Number
P3.7