2018/07/09 by Gillespie, Maria, Levinson, Jake
#05E05 #05E10 #Combinatorics (math.CO) #FOS: Mathematics
paper · doi:10.48550/arxiv.1807.03384
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 Q-positive expansions in symmetric function theory, just as the Stembridge axiomatic structure provides for ordinary Schur positivity.