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

DOI10.1088/0305-4470/16/7/014zbMath0537.22019OpenAlexW2094759019WikidataQ115293777 ScholiaQ115293777MaRDI QIDQ3322331

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

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1088/0305-4470/16/7/014

zbMATH Keywords

exceptional Lie algebra6j coefficientsboson realisationlowest dimensional representationsRegge symmetries

Mathematics Subject Classification ID

Exceptional (super)algebras (17B25) Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Applications of hypergeometric functions (33C90)

Related Items (8)

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 ⋮ 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 ⋮ Realizations of F4 in SO(3)⊗SO(3) bases and structural zeros of the 6 j-symbol ⋮ Some questions in the geometric theory of invariants of groups generated by orthogonal and oblique reflections

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