On the expansion of the multiplicity-free plethysms $ p_{2}[s_{(a, b)} ] $ and $ p_{2}[s_{(1^{r}, 2^{t})}] $

DOI10.55730/1300-0098.3227zbMath1495.05331OpenAlexW4285297891MaRDI QIDQ5103883

Luisa Carini

Publication date: 9 September 2022

Published in: Turkish Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.55730/1300-0098.3227

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)

Cites Work

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• Formulas for the expansion of the plethysms \(s_ 2[s_{(a,b)}\) and \(s_ 2[s_{(n^ k)}]\).]
• Multiplicity-free products of Schur functions
• On the multiplicity-free plethysms \(p_{2}[s_\lambda\)]
• Splitting the square of a Schur function into its symmetric and antisymmetric parts
• The 𝑆𝐿₃ colored Jones polynomial of the trefoil
• A combinatorial rule for the schur function expansion of the PlethysmS(1^a,b)[P_k]
• The classification of multiplicity-free plethysms of Schur functions
• Invariant theory, tensors and group characters

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