Tensor product of group representations and structural zeros of Racah coefficients

DOI10.1063/1.529610zbMath0768.22011OpenAlexW2100841319MaRDI QIDQ4033947

Joris Van der Jeugt

Publication date: 16 May 1993

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

Full work available at URL: https://doi.org/10.1063/1.529610

zbMATH Keywords

tensor productsRacah coefficientsirreducible finite dimensional representations

Mathematics Subject Classification ID

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)

Structural zeros of Racah coefficients and exceptional Lie algebras ⋮ Adjoint boson realization of SU(N) and a family of structural zeros of 6j coefficients ⋮ An algebraic independence result related to a conjecture of Dixmier on binary form invariants

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
• Nontrivial zeros of the Racah quadrupole invariant

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