On Diophantine equations and nontrivial Racah coefficients

DOI10.1063/1.527123zbMath0622.10010OpenAlexW2002218639MaRDI QIDQ3758910

Andrew Bremner

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1063/1.527123

zbMATH Keywords

zerosRacah coefficientssystem of diophantine equationscubic threefoldsfour- parameter solutions

Mathematics Subject Classification ID

Rational points (14G05) (4)-folds (14J35) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) (3)-folds (14J30) Arithmetic ground fields for surfaces or higher-dimensional varieties (14J20) Cubic and quartic Diophantine equations (11D25)

Related Items (7)

A complete determination of the zeros of weight-1 6j coefficients ⋮ 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 ⋮ On the simultaneous Diophantine equations \(m\cdot (x_1^k+x_2^k+\ldots+x_{t_1}^k)=n\cdot (y_1^k+y_2^k+\ldots+y_{t_2}^k)\), \(k=1,3\) ⋮ Quadratic zeros of Racah 6j coefficients: A geometrical approach ⋮ Weight-2 zeros of 3j coefficients and the Pell equation ⋮ A note on the high power Diophantine equations

Cites Work

• 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
• Nontrivial zeros of the Racah quadrupole invariant
• On the Representations of the Rotation Group
• Theory of Complex Spectra. IV

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