Clebsch–Gordan coefficients: General theory

DOI10.1063/1.524107zbMath0416.20008OpenAlexW2049239942MaRDI QIDQ3205405

R. Dirl

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1063/1.524107

zbMATH Keywords

Clebsch-Gordan coefficientsprojective representations of finite groupsSchmidt orthogonalization

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of group representations to physics and other areas of science (20C35) Projective representations and multipliers (20C25)

Related Items (18)

Symmetry and generating relations for Clebsch–Gordan coefficients arising from automorphisms ⋮ Generating relations for reducing matrices. I. Ordinary representations ⋮ Clebsch–Gordan coefficients for space groups ⋮ Generating relations for reducing matrices. III. Kronecker products ⋮ Multiplicities for space group representations ⋮ Coupling coefficients: General theory ⋮ Clebsch–Gordan coefficients of finite magnetic groups ⋮ Algebraic expressions of the Clebsch-Gordon coefficients of the point group T† ⋮ Clebsch–Gordan coefficients for corepresentations. I⊗I ⋮ Clebsch–Gordan coefficients for corepresentations. I⊗II ⋮ Clebsch–Gordan coefficients for corepresentations. I⊗III ⋮ Clebsch–Gordan coefficients for corepresentations. II⊗II ⋮ Clebsch–Gordan coefficients for corepresentations. II⊗III ⋮ Clebsch–Gordan coefficients for corepresentations. III⊗III ⋮ Selection rules for type II Shubnikov space groups ⋮ Computation and tabulation of space group Clebsch-Gordan coefficients ⋮ Type-adapted subduction matrices ⋮ A Hamiltonian approach for obtaining irreducible projective representations and the k ⋅ p perturbation for anti-unitary symmetry groups

Cites Work

• Unitary representations of group extensions. I
• Clebsch-Gordan Coefficients for Space Groups
• A general method for obtaining Clebsch-Gordan coefficients of finite groups. I. Its application to point and space groups
• Clebsch−Gordan coefficients for crystal space groups
• Clebsch−Gordan coefficients for *X ⊗ *X in diamond O7h−Fd3m and rocksalt O5n−Fm3m
• The decomposition of the tensor product of representations of the symmetric group
• The Clebsch–Gordan coefficients of S n
• Induced projective representations

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