Fourth degree Casimir operator of the semisimple graded Lie algebra (Sp(2N); 2N)

DOI10.1063/1.523855zbMath0425.17010OpenAlexW2022258471WikidataQ115332831 ScholiaQ115332831MaRDI QIDQ3859955

Miroslav Bednar, Vladimír Šachl

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1063/1.523855

zbMATH Keywords

symplectic Lie algebraCasimir operators

Mathematics Subject Classification ID

Graded Lie (super)algebras (17B70)

Related Items (4)

Boson–fermion representations of Lie superalgebras: The example of osp(1,2) ⋮ Classification and construction of finite dimensional irreducible representations of the graded algebras; application to the (Sp(2n); 2n) algebra ⋮ Boson, para-boson, and boson-fermion representations of some graded Lie algebras ⋮ New expressions for the eigenvalues of the invariant operators of the general linear and the orthosymplectic Lie superalgebras

Cites Work

• Semisimple graded Lie algebras
• Classification of all simple graded Lie algebras whose Lie algebra is reductive. I
• Eigenvalues of the Casimir operators of the orthogonal and symplectic groups
• Graded Lie algebras: Generalization of Hermitian representations
• The Killing form for graded Lie algebras
• Simple supersymmetries

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