Algorithms for computing \(U(N)\) Clebsch-Gordan coefficients

DOI10.1007/s10440-006-9083-9zbMath1108.22013OpenAlexW1992476424MaRDI QIDQ870490

S. Gliske, Tuong Ton-That, William H. Klink

Publication date: 12 March 2007

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-006-9083-9

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Symmetry breaking in quantum theory (81R40) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (3)

Permutation-symmetric three-particle hyper-spherical harmonics based on the \(\operatorname{S}_{3}\otimes\operatorname{SO}(3)_{rot} \subset \operatorname{O}(2)\otimes\operatorname{SO}(3)_{ rot} \subset \operatorname{U}(3) \rtimes \operatorname{S}_{2} \subset \operatorname{O}(6)\) subgroup chain ⋮ A new algorithm for computing branching rules and Clebsch–Gordan coefficients of unitary representations of compact groups ⋮ A numerical algorithm for the explicit calculation of SU(N) and $\mbox{SL}(N,\mathbb {C})$SL(N,C) Clebsch–Gordan coefficients

Cites Work

• Calculation of Clebsch-Gordan and Recah coefficients using symbolic manipulation programs
• n-fold tensor products of GL(N,\({\mathbb{C}})\) and decomposition of Fock spaces
• Algorithms for computing generalized \(\text{U}(N)\) Racah coefficients
• Invariant theory, generalized Casimir operators, and tensor product decompositions ofU(N)
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