COMPILATION OF RELATIONS FOR THE ANTISYMMETRIC TENSORS DEFINED BY THE LIE ALGEBRA COCYCLES OF su(n)

DOI10.1142/S0217751X01003111zbMath0990.17024arXivmath-ph/0006026OpenAlexW3105172039WikidataQ115246412 ScholiaQ115246412MaRDI QIDQ2729437

Alan J. Macfarlane, José A. de Azcárraga

Publication date: 22 July 2001

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0006026

zbMATH Keywords

Lie algebra cohomologycocyclesOmega tensorsRacah-Casimir operators

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Cohomology of Lie (super)algebras (17B56) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (5)

Large N behavior of two dimensional supersymmetric Yang-Mills quantum mechanics ⋮ Hidden supersymmetries in supersymmetric quantum mechanics ⋮ Optimally defined Racah–Casimir operators for su(n) and their eigenvalues for various classes of representations ⋮ Symmetry algebras of stringy cosets ⋮ A hidden supersymmetry of supersymmetric mechanics on the sphere \(S^6\)

Cites Work

• Higher-order simple Lie algebras
• Invariant tensors for simple groups
• Invariant effective actions, cohomology of homogeneous spaces and anomalies
• On characteristic equations, trace identities and Casimir operators of simple Lie algebras
• Optimally defined Racah–Casimir operators for su(n) and their eigenvalues for various classes of representations
• GROUP THEORY FACTORS FOR FEYNMAN DIAGRAMS
• Higher-order BRST and anti-BRST operators and cohomology for compact Lie algebras
• Matrix Products and the Explicit 3, 6, 9, and 12-j Coefficients of the Regular Representation of SU(n)
• Fermionic realisations of simple Lie algebras and their invariant fermionic operators

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