Realizations of F4 in SO(3)⊗SO(3) bases and structural zeros of the 6 j-symbol

DOI10.1063/1.526262zbMath0551.22008OpenAlexW2084252547MaRDI QIDQ3344390

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/10.1063/1.526262

zbMATH Keywords

tensor operators6j-symbolsmaximal subalgebrasexceptional group \(F_ 4\)

Mathematics Subject Classification ID

Exceptional (super)algebras (17B25) Applications of Lie groups to the sciences; explicit representations (22E70) Applications of hypergeometric functions (33C90)

Related Items (7)

On the superalgebras built from SO(3) tensor operators ⋮ On the algebra of coupled SO(3) tensors ⋮ Structural zeros of Racah coefficients and exceptional Lie algebras ⋮ On Diophantine equations and nontrivial Racah coefficients ⋮ Tensor operator realizations of E6 and structural zeros of the 6j-symbol ⋮ 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

Cites Work

• Boson realisation of the Lie algebra F₄and non-trivial zeros of 6j symbols

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