DEVELOPMENT OF A UNIFIED TENSOR CALCULUS FOR THE EXCEPTIONAL LIE ALGEBRAS

DOI10.1142/S0217751X04017562zbMath1080.17007arXivmath-ph/0212047MaRDI QIDQ3370215

Alan J. Macfarlane, Hendryk Pfeiffer

Publication date: 7 February 2006

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

Full work available at URL: https://arxiv.org/abs/math-ph/0212047

zbMATH Keywords

exceptional Lie algebrasdeligne conjectureadjoint tensor powersthird rank tensors

Mathematics Subject Classification ID

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

Related Items

Deformation quantization on the closure of minimal coadjoint orbits ⋮ Rational R-matrices, centralizer algebras and tensor identities for e6 and e7 exceptional families of Lie algebras

Uses Software

• LiE

Cites Work

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• Okubo's quartic trace formula for exceptional Lie algebras
• Calogero-Moser Lax pairs with spectral parameter for general Lie algebras
• Spurformeln in einfachen Lie-Algebren
• Lie groups in the foundations of geometry
• LIE ALGEBRA AND INVARIANT TENSOR TECHNOLOGY FOR g₂
• Angular Momentum in Quantum Physics
• Exceptional Lie Algebras and Related Algebraic and Geometric Structures
• Quartic trace identity for exceptional Lie algebras
• R-matrices and the magic square
• Representations of the exceptional and other Lie algebras with integral eigenvalues of the Casimir operator
• Higher-order BRST and anti-BRST operators and cohomology for compact Lie algebras
• Conformal and quasiconformal realizations of exceptional Lie groups

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