Axioms for shifted tableau crystals
Combinatorics
2018-07-11 v1
Abstract
We give local axioms that uniquely characterize the crystal-like structure on shifted tableaux developed in a previous paper by Gillespie, Levinson, and Purbhoo. These axioms closely resemble those developed by Stembridge for type A tableau crystals. This axiomatic characterization gives rise to a new method for proving and understanding Schur -positive expansions in symmetric function theory, just as the Stembridge axiomatic structure provides for ordinary Schur positivity.
Keywords
Cite
@article{arxiv.1807.03384,
title = {Axioms for shifted tableau crystals},
author = {Maria Gillespie and Jake Levinson},
journal= {arXiv preprint arXiv:1807.03384},
year = {2018}
}