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arXiv · 1707.02513

Crystals and Schur $P$-positive expansions

Seung-Il Choi·Jae-Hoon Kwon
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Abstract

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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Seung-Il Choi, Jae-Hoon Kwon. 2017-07-09. Crystals and Schur $P$-positive expansions. https://arxiv.org/abs/1707.02513

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