Generalized Casimir operators for Lie superalgebras

DOI10.1063/5.0056538zbMath1484.17020arXiv2011.02133OpenAlexW3207835432MaRDI QIDQ5163809

Senapathi Eswara Rao

Publication date: 8 November 2021

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

Full work available at URL: https://arxiv.org/abs/2011.02133

zbMATH Keywords

Lie superalgebrahighest weightloop algebrageneralized Casimir operatorcontragradient Lie superalgebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Universal enveloping (super)algebras (17B35)

Related Items (1)

On some central operators for loop Lie superalgebras

Cites Work

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• On simplicity of vacuum modules
• On the ghost centre of Lie superalgebras.
• Equivariant map superalgebras
• A complete set of intertwiners for arbitrary tensor product representations via current algebras
• Finite dimensional modules for multiloop superalgebras of types 𝐴(𝑚,𝑛) and 𝐶(𝑚)
• Generalized Casimir operators

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