Calculation of Clebsch-Gordan and Recah coefficients using symbolic manipulation programs

DOI10.1016/0021-9991(89)90110-1zbMath0677.33009OpenAlexW2049901233MaRDI QIDQ1123298

William H. Klink, Tuong Ton-That

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-9991(89)90110-1

zbMATH Keywords

Racah coefficientsClebsch-Gordan coefficient

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Applications of Lie groups to the sciences; explicit representations (22E70)

Related Items

Multiplicity, invariants, and tensor product decompositions of compact groups, A calculus for SU(3) leading to an algebraic formula for the Clebsch–Gordan coefficients, Algorithms for computing \(U(N)\) Clebsch-Gordan coefficients, \((\mathrm{GL}_n,\mathrm{GL}_m)\)-duality and symmetric plethysm, An algebraic algorithm for calculating Clebsch–Gordan coefficients; application to SU(2) and SU(3), Invariant theory of the block diagonal subgroups of \(GL(n,\mathbb{C})\) and generalized Casimir operators, Regge and Okamoto symmetries, Algorithms for computing generalized \(\text{U}(N)\) Racah coefficients

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• n-fold tensor products of GL(N,\({\mathbb{C}})\) and decomposition of Fock spaces
• On resolving the multiplicity of arbitrary tensor products of the U(N) groups
• Operators that Lower or Raise the Irreducible Vector Spaces of U n−1 Contained in an Irreducible Vector Space of Un
• On non-compact groups I. Classification of non-compact real simple Lie groups and groups containing the Lorentz group
• On the Representations of the Rotation Group