Hook-shape immanant characters from Stanley-Stembridge characters

DOI10.5802/alco.331arXiv2304.05285OpenAlexW4392044784MaRDI QIDQ6122141

Nathan R. T. Lesnevich

Publication date: 28 February 2024

Published in: Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2304.05285

zbMATH Keywords

immanantsJacobi-Trudi matrices

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10)

Cites Work

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• Immanants of combinatorial matrices
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• A symmetric function generalization of the chromatic polynomial of a graph
• Incomparability graphs of \((3+1)\)-free posets are \(s\)-positive
• Chromatic symmetric functions from the modular law
• A new formula for Stanley's chromatic symmetric function for unit interval graphs and E-positivity for triangular ladder graphs
• Some Conjectures for Immanants
• Hecke Algebra Characters and Immanant Conjectures
• Unit interval orders and the dot action on the cohomology of regular semisimple Hessenberg varieties
• The cohomology of abelian Hessenberg varieties and the Stanley-Stembridge conjecture

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