Adjoint boson realization of SU(N) and a family of structural zeros of 6j coefficients

DOI10.1063/1.530897zbMath0854.17007OpenAlexW2109281048MaRDI QIDQ4318034

Joris Van der Jeugt

Publication date: 25 January 1995

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

Full work available at URL: https://doi.org/10.1063/1.530897

zbMATH Keywords

Racah coefficientsidentitySO(3) tensor operatorsadjoint boson realization of \(\text{SU} (N)\)structural zeros of \(6j\) coefficients

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (3)

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Cites Work

• Zeros of Racah coefficients and the Pell equation
• An algorithm to generate the polynomial zeros of degree one of the Racah coefficients
• Tensor operator realizations of E6 and structural zeros of the 6j-symbol
• Boson realisation of the Lie algebra F₄and non-trivial zeros of 6j symbols
• On the polynomial zeros of the Clebsch-Gordan and Racah coefficients
• Realizations of F4 in SO(3)⊗SO(3) bases and structural zeros of the 6 j-symbol
• Nontrivial zeros of weight 1 3j and 6j coefficients: Relation to Diophantine equations of equal sums of like powers
• On Diophantine equations and nontrivial Racah coefficients
• A complete determination of the zeros of weight-1 6j coefficients
• Tensor product of group representations and structural zeros of Racah coefficients
• Structural zeros of Racah coefficients and exceptional Lie algebras
• Nontrivial zeros of the Racah quadrupole invariant

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