Relationship between S N and U(n) isoscalar factors and higher-order U(n) invariants

DOI10.1063/1.528700zbMath0705.22018OpenAlexW2026819570MaRDI QIDQ3485095

Josef Paldus, Xiangzhu Li

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1063/1.528700

zbMATH Keywords

irreducible representationsRacah coefficientscouplingisoscalar factors

Mathematics Subject Classification ID

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

Related Items (5)

Spectral properties of embedded Gaussian unitary ensemble of random matrices with Wigner's \(\mathrm{SU}(4)\) symmetry ⋮ Symmetric-group-based methods in quantum chemistry ⋮ Explicit canonical tensor operators and orthonormal coupling coefficients of SU(3) ⋮ Multibody operator matrix elements and subduction coefficients in U(n): II ⋮ Comment on ‘‘The matrix representation of U4 in the U2×U2 basis and isoscalar factors for U p+q⊇U p×U q’’ [F. Pan, J. Math. Phys. 31, 1333 (1990)]

Cites Work

• A pattern calculus for tensor operators in the unitary groups
• Implementation of the U(n) tensor operator calculus in a vector Bargmann Hilbert space
• Multiplicity-free Wigner coefficients for semisimple Lie groups. I. The U(n) pattern calculus
• Coupling coefficient for the symmetric and unitary groups
• Parastatistics and the Clifford algebra unitary group approach to the many-electron correlation problem
• New perspective on the U(n) Wigner-Racah calculus. I. Vector coherent state theory and construction of Gel'fand bases
• New perspective on the U(n) Wigner-Racah calculus. II. Elementary reduced Wigner coefficients for U(n)
• New perspective on the U(n) Wigner-Racah calculus. III. Applications to U(2) and U(3)
• 6-j for mixed symmetry triads in K₂₀
• On the Representations of the Semisimple Lie Groups. II
• Gelfand States and the Irreducible Representations of the Symmetric Group
• Symmetry Properties of the 3j-Symbols for an Arbitrary Group
• On the Symmetric Tensor Operators of the Unitary Groups
• 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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