On resolving the multiplicity of arbitrary tensor products of the U(N) groups

DOI10.1088/0305-4470/21/20/008zbMath0669.22007OpenAlexW2025301423MaRDI QIDQ3822420

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Publication date: 1988

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

Full work available at URL: https://doi.org/10.1088/0305-4470/21/20/008

zbMATH Keywords

tensor productsFock spaceactionBorel subgroupdual pairingalgebra of differential operators in the universal enveloping algebraright invariant differential operatorsTensor products of irreducible representations of the unitary groups

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Applications of Lie groups to the sciences; explicit representations (22E70) Applications of group representations to physics and other areas of science (20C35)

Related Items (5)

Calculation of Clebsch-Gordan and Recah coefficients using symbolic manipulation programs ⋮ Invariant theory of the block diagonal subgroups of \(GL(n,\mathbb{C})\) and generalized Casimir operators ⋮ Clebsch–Gordan coefficients of SU(3) in SU(2) and SO(3) bases ⋮ \(SU\)(3) Clebsch-Gordan coefficients with definite permutation symmetry ⋮ Algorithms for computing generalized \(\text{U}(N)\) Racah coefficients

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