From symmetric fundamental expansions to Schur positivity

zbMath1440.05206arXiv1508.07052MaRDI QIDQ5111030

Austin Roberts

Publication date: 26 May 2020

Full work available at URL: https://arxiv.org/abs/1508.07052

zbMATH Keywords

Schur functionspositivitysymmetric functionsKnuth equivalencequasisymmetric functionsRSK

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Symmetric functions and generalizations (05E05)

Cites Work

• Unnamed Item
• Quasisymmetric Schur functions
• Skew quasisymmetric Schur functions and noncommutative Schur functions
• From quasisymmetric expansions to Schur expansions via a modified inverse Kostka matrix
• Littlewood-Richardson rules for symmetric skew quasisymmetric Schur functions
• Dual equivalence with applications, including a conjecture of Proctor
• A decomposition of Schur functions and an analogue of the Robinson-Schensted-Knuth algorithm
• An Introduction to Quasisymmetric Schur Functions

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