A combinatorial Schur expansion of triangle-free horizontal-strip LLT polynomials

zbMath1505.05136MaRDI QIDQ2680893

Foster Tom

Publication date: 5 January 2023

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: https://www.mat.univie.ac.at/~slc/wpapers/FPSAC2021/18.html

zbMATH Keywords

symmetric functionjeu de taquinHall-Littlewood polynomialcochargeLLT polynomialSchur-positive expansion

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Coloring of graphs and hypergraphs (05C15)

Cites Work

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• A combinatorial formula for the character of the diagonal coinvariants
• A combinatorial expansion of vertical-strip LLT polynomials in the basis of elementary symmetric functions
• Cyclic sieving, skew Macdonald polynomials and Schur positivity
• Melting lollipop chromatic quasisymmetric functions and Schur expansion of unicellular LLT polynomials
• Ribbon tableaux, Hall–Littlewood functions, quantum affine algebras, and unipotent varieties
• A combinatorial formula for Macdonald polynomials

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