A combinatorial rule for the schur function expansion of the PlethysmS(1a,b)[Pk]

DOI10.1080/03081089508818407zbMath0844.05097OpenAlexW1964170460MaRDI QIDQ4873482

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Publication date: 2 July 1996

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081089508818407

zbMATH Keywords

Schur functionssymmetric functionssymmetric polynomialsLittlewood-Richardson ruleplethysmFerrers diagramhook partitionrim hook tabloidsSXP algorithm

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05)

Related Items (8)

The combinatorics of Jeff Remmel ⋮ On the expansion of the multiplicity-free plethysms $ p_{2}[s_{(a, b)} $ and $ p_{2}[s_{(1^{r}, 2^{t})}] $] ⋮ Quasisymmetric expansions of Schur-function plethysms ⋮ Polynomial induction and the restriction problem ⋮ Formulas for the expansion of the plethysms \(s_ 2[s_{(a,b)}\) and \(s_ 2[s_{(n^ k)}]\).] ⋮ A combinatorial interpretation of the inverse \(t\)-Kostka matrix. ⋮ A simple proof of the Littlewood-Richardson rule and applications. ⋮ On Various Multiplicity-Free Products of Schur Functions

Cites Work

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• \((\mathrm{GL}_n,\mathrm{GL}_m)\)-duality and symmetric plethysm
• Multiplying Schur functions
• Special Rim Hook Tabloids and Some New Multiplicity-Free S-Series
• A combinatorial interpretation of the inverse kostka matrix
• On D. E. Littlewood's Algebra of S-Functions
• Plethysm of S -Functions
• Invariant theory, tensors and group characters
• On Symmetrized Kronecker Powers and the Structure of the Free Lie Ring

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