An analogue of chromatic bases and p-positivity of skew Schur Q-functions

2019/07/23 by Soojin Cho, Cho, Soojin, JiSun Huh +3
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1907.09722

openalex publication_date 2019/07/23 · openalex created_date 2019/07/30 · openalex updated_date 2026/07/28

Abstract

We investigate chromatic symmetric functions in the relation to the algebra Γ of symmetric functions generated by Schur Q-functions. We construct natural bases of Γ in terms of chromatic symmetric functions. We also consider the p-positivity of skew Schur Q-functions and find a class of p-positive ribbon Schur Q-functions, making a conjecture that they are all. We include many concrete computational results that support our conjecture.

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