Tensor operator realizations of E6 and structural zeros of the 6j-symbol

DOI10.1063/1.526486zbMath0558.17009OpenAlexW1985201711MaRDI QIDQ3223009

H. E. De Meyer, Joris Van der Jeugt, Guido Vanden Berghe

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1063/1.526486

zbMATH Keywords

branching rulesexceptional Lie algebrasstructural zeros6j-coefficientstensor operator realizations

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Exceptional (super)algebras (17B25) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of hypergeometric functions (33C90)

Related Items (5)

Zeros of Racah coefficients and the Pell equation ⋮ On the algebra of coupled SO(3) tensors ⋮ Adjoint boson realization of SU(N) and a family of structural zeros of 6j coefficients ⋮ Tensor product of group representations and structural zeros of Racah coefficients ⋮ Weight-2 zeros of 3j coefficients and the Pell equation

Cites Work

• Semisimple subalgebras of semisimple Lie algebras
• Boson realisation of the Lie algebra F₄and non-trivial zeros of 6j symbols
• Realizations of F4 in SO(3)⊗SO(3) bases and structural zeros of the 6 j-symbol

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