Algebraic expressions for some SO(N) Racah coefficients

DOI10.1063/1.532626zbMath1024.81510OpenAlexW1968149481MaRDI QIDQ4701555

Dong Ruan, Hongzhou Sun

Publication date: 21 November 1999

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

Full work available at URL: https://doi.org/10.1063/1.532626

zbMATH Keywords

irreducible representationsRacah coefficients

Mathematics Subject Classification ID

Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Cites Work

• On some Racah coefficients of U(n)
• On a labeling for point group harmonics. II. Icosahedral group
• The symmetric group: Algebraic formulas for some S f 6j symbols and S f⊇S f1×S f2 3j m symbols
• Algebraic expressions for some multiplicity-free 6j symbols and isoscalar factors for G2
• Algebraic expressions for some generalised 6-j symbols for SO(n) and G₂
• A class of generalised 9-j symbols for Sp(2n)
• Some coupling and recoupling coefficients for symmetric representations of SO_n
• Calculation of primitive 6-j symbols
• Algebraic expressions for O(N)⊃O(N−1) reduction factors for the three-rowed irreducible representations
• Algebraic expressions for SU(3) contains/implies R(3) Wigner coefficients for ( lambda 0)*(3 0)
• 6-j symbols for SO(2l+1) and a structural analysis in terms of atomic quasiparticles
• Theoretical studies in nuclear structure. II. Nuclear d ² , d ³ and d ⁴ configurations. Fractional parentage coefficients and central force matrix elements

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