Dual equivalence graphs revisited and the explicit Schur expansion of a family of LLT polynomials

DOI10.1007/s10801-013-0452-yzbMath1292.05262arXiv1302.0319OpenAlexW3099523123MaRDI QIDQ2248921

Austin Roberts

Publication date: 27 June 2014

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

Full work available at URL: https://arxiv.org/abs/1302.0319

zbMATH Keywords

Macdonald polynomialsLLT polynomialsquasisymmetric functionsSchur expansiondual equivalence graph

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05)

Related Items (12)

Haglund's conjecture on 3-column Macdonald polynomials ⋮ Abacus proofs of Schur expansions of Macdonald polynomials ⋮ Dual equivalence graphs and CAT(0) combinatorics ⋮ Toward the Schur expansion of Macdonald polynomials ⋮ Variants of the RSK algorithm adapted to combinatorial Macdonald polynomials ⋮ DUAL EQUIVALENCE GRAPHS I: A NEW PARADIGM FOR SCHUR POSITIVITY ⋮ Type \(A\) molecules are Kazhdan-Lusztig ⋮ Coxeter-Knuth graphs and a signed little map for type B reduced words ⋮ Noncommutative Schur functions, switchboards, and Schur positivity ⋮ Robinson-Schensted correspondence for unit interval orders ⋮ On the Schur expansion of Hall-Littlewood and related polynomials via Yamanouchi words ⋮ LLT cumulants and graph coloring

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