An explicit construction of Casimir operators and eigenvalues. I

DOI10.1063/1.532175zbMath0935.17006arXivhep-th/9609060OpenAlexW3100295813MaRDI QIDQ4378336

M. Gungormez, H. R. Karadayi

Publication date: 10 May 2000

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

Full work available at URL: https://arxiv.org/abs/hep-th/9609060

zbMATH Keywords

clustersexceptional Lie algebraPoincaré-Birkhoff-Witt theoremindicatorslinearly independent Casimir operators

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Exceptional (super)algebras (17B25)

Related Items (4)

A quantummechanical derivation of the eigenvalues of the quadratic Casimir operator of the algebra \(SU (n)\) in Young tableau representation ⋮ The external labelling problem and Clebsch–Gordan series of semisimple Lie algebras ⋮ An explicit construction of Casimir operators and eigenvalues. II ⋮ GROUP THEORY FACTORS FOR FEYNMAN DIAGRAMS

Cites Work

• Monopoles, duality and chiral symmetry breaking in \(N=2\) supersymmetric QCD
• Eigenvalues of Casimir operators for the general linear and orthosymplectic Lie superalgebras
• Laplace operators of infinite-dimensional Lie algebras and theta functions
• General indices of representations and Casimir invariants
• On the anomaly number of the classical groups
• Casimir operators of the exceptional group G2
• S Theorem and Construction of the Invariants of the Semisimple Compact Lie Algebras
• The Betti Numbers of the Simple Lie Groups

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