Second and fourth indices of plethysms

DOI10.1063/1.525183zbMath0485.17002OpenAlexW2014231009WikidataQ56688834 ScholiaQ56688834MaRDI QIDQ3944742

R. T. Sharp, John McKay, Jirí Patera

Publication date: 1981

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.525183

zbMATH Keywords

decompositionYoung tableausemisimple Lie algebrasindicesplethysmsproduct representations

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Lie algebras of Lie groups (22E60) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (9)

Reduction of tensor products with definite permutation symmetry: Embeddings of irreducible representations of Lie groups into fundamental representations of SU(M) and branchings ⋮ Congruence classes of finite representations of simple Lie superalgebra ⋮ The semisimple subalgebras of exceptional Lie algebras ⋮ Anomaly coefficients: Their calculation and congruences ⋮ Character calculations for semisimple Lie algebras ⋮ General indices of representations and Casimir invariants ⋮ Indices of representations of simple superalgebras ⋮ General indices of simple Lie algebras and symmetrized product representations ⋮ Reduction formulas for higher-order indices and anomaly

Cites Work

• On a new relation between semisimple Lie algebras
• On the triangle anomaly number of SU(n) representations
• Branching rules and Clebsch–Gordan series for E8
• On the representation of symmetric polynomials

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