On the Wigner and the Racah coefficients of suq(2) and suq(1,1)

DOI10.1063/1.529104zbMath0738.17012OpenAlexW2035205362MaRDI QIDQ3987290

Takayoshi Maekawa

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1063/1.529104

zbMATH Keywords

quantum groupsRacah coefficientsWigner coefficients

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Applications of Lie groups to the sciences; explicit representations (22E70) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Related Items (13)

Clebsch-Gordan coefficients for the quantum algebra \(su_ q(2)\) ⋮ Field of sine-Gordon type in spacetime of arbitrary dimension: Existence of the Nelson measure ⋮ Solution of the Goursat problem for the Maxwell-Bloch system ⋮ Solutions of the Schrödinger equation in the case of a semiinfinite crystal ⋮ The semiclassical approximation in quantum mechanics. A new approach ⋮ Semiclassical asymptotics for a radial Schrödinger equation with singular potential ⋮ Discrete symmetries in quantum scattering ⋮ On the quantization of identical particles ⋮ Exactly solvable lattice model of rooted branched polymers ⋮ Diffusion in layered media at large times ⋮ On the wave functions of a covariant linear oscillator ⋮ Quantization in the neighborhood of classical solutions in the \(N\) particle problem and superfluidity ⋮ Three-scale expansion of the solution of the magnetohydrodynamic equations and the Reynolds equation for a tokamak

Cites Work

• Solutions of the Yang-Baxter equation
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Finite dimensional representations of the quantum analog of the enveloping algebra of a complex simple Lie algebra
• Etiology of IRF models
• A general study of the Wigner coefficients of \(\mathrm{SU}(1,1)\)
• Irreducible unitary representations of the Lorentz group
• Relations for Clebsch–Gordan and Racah coefficients in suq(2) and Yang–Baxter equations
• The quantum group SU_q(2) and a q-analogue of the boson operators
• Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction
• Some Properties of the Racah and Associated Coefficients

This page was built for publication: On the Wigner and the Racah coefficients of suq(2) and suq(1,1)