Quartic trace identity for exceptional Lie algebras

DOI10.1063/1.524127zbMath0413.17007OpenAlexW2065648275MaRDI QIDQ4200212

Susumu Okubo

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1063/1.524127

zbMATH Keywords

irreducible representationsimple Lie algebrasexceptional Lie algebrasquartic trace identity

Mathematics Subject Classification ID

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

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More anomaly free models of six-dimensional gauged supergravity ⋮ Universal qudit Hamiltonians ⋮ Quantizing the non-linear graviton ⋮ A class of continuous non-associative algebras arising from algebraic groups including ⋮ On characteristic equations, trace identities and Casimir operators of simple Lie algebras ⋮ LIE ALGEBRA AND INVARIANT TENSOR TECHNOLOGY FOR g₂ ⋮ Rational terms in theories with matter ⋮ Lie groups ⋮ General indices of representations and Casimir invariants ⋮ General indices of simple Lie algebras and symmetrized product representations ⋮ Spurformeln in einfachen Lie-Algebren ⋮ Modified fourth-order Casimir invariants and indices for simple Lie algebras ⋮ Micu-type invariants of exceptional simple Lie algebras ⋮ DEVELOPMENT OF A UNIFIED TENSOR CALCULUS FOR THE EXCEPTIONAL LIE ALGEBRAS ⋮ Okubo's quartic trace formula for exceptional Lie algebras ⋮ Quantum channels and representation theory ⋮ Branching index sum rules for simple Lie algebras

Cites Work

• Semisimple subalgebras of semisimple Lie algebras
• Casimir invariants and vector operators in simple and classical Lie algebras
• Classification of Finite-Dimensional Irreducible Representations of Connected Complex Semisimple Lie Groups

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