On the multiplicity-free plethysms \(p_{2}[s_\lambda]\)

DOI10.1007/s00026-017-0354-0zbMath1386.05192OpenAlexW2726059734MaRDI QIDQ1684289

Luisa Carini

Publication date: 8 December 2017

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

Full work available at URL: https://doi.org/10.1007/s00026-017-0354-0

zbMATH Keywords

Schur functionsplethysmmultiplicity-free

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Representation theory for linear algebraic groups (20G05) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items (4)

The classification of multiplicity-free plethysms of Schur functions ⋮ On the expansion of the multiplicity-free plethysms $ p_{2}[s_{(a, b)} $ and $ p_{2}[s_{(1^{r}, 2^{t})}] $] ⋮ Polynomial induction and the restriction problem ⋮ On Various Multiplicity-Free Products of Schur Functions

Cites Work

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• Formulas for the expansion of the plethysms \(s_ 2[s_{(a,b)}\) and \(s_ 2[s_{(n^ k)}]\).]
• Splitting the square of a Schur function into its symmetric and antisymmetric parts
• Rectangular Schur functions and the basic representation of affine Lie algebras
• The 𝑆𝐿₃ colored Jones polynomial of the trefoil
• Multiplying Schur functions
• Modular representations of symmetric groups
• Invariant theory, tensors and group characters

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