Clebsch-Gordan coefficients for the quantum algebra \(su_ q(2)\)

DOI10.1007/BF01015117zbMath0820.17019OpenAlexW2023362492MaRDI QIDQ1804123

Sergei K. Suslov, Natig M. Atakishiyev

Publication date: 17 May 1995

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01015117

zbMATH Keywords

Clebsch-Gordan coefficients\(q\)-Hahn polynomialsquantum algebra \(\text{su}_ q(2)\)

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Related Items (1)

Right \(SU_q(2)\)- and left \(SU_{q^{-1}}(2)\)-invariances of the \(q\)-Hilbert-Schmidt scalar products for an adjoint representation of the quantum algebra \(\breve{U}_q(su_2)\)

Cites Work

• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Classical orthogonal polynomials of a discrete variable and representations of the three-dimensional rotation group
• Finite dimensional representations of the quantum analog of the enveloping algebra of a complex simple Lie algebra
• Poisson manifolds and the Schouten bracket
• The \(q\)-boson operator algebra and \(q\)-Hermite polynomials
• \(q\)-orthogonal polynomials and the oscillator quantum group
• On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)_q
• Relations for Clebsch–Gordan and Racah coefficients in suq(2) and Yang–Baxter equations
• A simple derivation of the quantum Clebsch–Gordan coefficients for SU(2)q
• The quantum group SU_q(2) and a q-analogue of the boson operators
• On the q oscillator and the quantum algebra su_q(1,1)
• Quantum algebra deforming maps, Clebsch–Gordan coefficients, coproducts, R and U matrices
• On the Wigner and the Racah coefficients of suq(2) and suq(1,1)
• Generalized basic hypergeometric functions and the q-analogues of 3-j and 6-j coefficients
• General recurrence relations for Clebsch-Gordan coefficients of the quantum algebra U_q(su₂)
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