Structural zeros of Racah coefficients and exceptional Lie algebras

DOI10.1063/1.530741zbMath0818.17003OpenAlexW2160563606MaRDI QIDQ4296107

Guido Vanden Berghe

Publication date: 14 August 1995

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

Full work available at URL: https://doi.org/10.1063/1.530741

zbMATH Keywords

zerosRacah coefficientsexceptional Lie algebra6-\(j\) symbolsboson realizationSO(3) tensor operators

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Exceptional (super)algebras (17B25) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items

Adjoint boson realization of SU(N) and a family of structural zeros of 6j coefficients, LIE ALGEBRA AND INVARIANT TENSOR TECHNOLOGY FOR g₂

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
• Tensor product of group representations and structural zeros of Racah coefficients
• Theory of Complex Spectra. IV