General indices of simple Lie algebras and symmetrized product representations

DOI10.1063/1.525670zbMath0544.17005OpenAlexW2010651453MaRDI QIDQ3333207

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Publication date: 1983

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

Full work available at URL: https://doi.org/10.1063/1.525670

zbMATH Keywords

traceindexCasimir operatorirreducible componentssimple Lie algebraproduct representationYoung tableau symmetryindependent invariant operators

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Exceptional (super)algebras (17B25) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of Lie groups to the sciences; explicit representations (22E70) Lie algebras of Lie groups (22E60) Simple, semisimple, reductive (super)algebras (17B20)

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Cites Work

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• Spinors in Negative Dimensions
• Branching rules for U(N)⊃U(M) and the evaluation of outer plethysms