Scalar product for the tensor operators of the quantum algebra Ŭq(su2) by the Wigner–Eckart theorem

DOI10.1142/S0219887815501078zbMath1329.81239OpenAlexW1849248508MaRDI QIDQ3455914

Hossein Fakhri, Mojtaba Nouraddini

Publication date: 11 December 2015

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887815501078

zbMATH Keywords

Hopf algebrastensor operatorsWigner-Eckart theorem\(*\)-representations

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) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Applications of Lie groups to the sciences; explicit representations (22E70) Applications of selfadjoint operator algebras to physics (46L60) Hopf algebras and their applications (16T05)

Related Items (4)

From the Wigner–Eckart theorem to the Hilbert–Schmidt scalar product for an adjoint representation of the quantum algebra Up,q(su2) ⋮ 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 \(\breve{U}_q(su_2)\) ⋮ The quantum group SLq⋆(2) and quantum algebra Uq(sl2⋆) based on a new associative multiplication on 2 × 2 matrices ⋮ Left-covariant first order differential calculus on quantum Hopf supersymmetry algebra

Cites Work

• On q-tensor operators for quantum groups
• Representations of the quantum group \(SU_ q(2)\) and the little q-Jacobi polynomials
• Quantum algebra approach to \(q\)-Gegenbauer polynomials
• Casimir invariants for Hopf algebras
• Tensor operators for quantum groups and applications
• Tensor operators and Clebsch–Gordan coefficients of the quantum algebra suq(1,1)
• WIGNER–ECKART THEOREM FOR TENSOR OPERATORS OF HOPF ALGEBRAS

This page was built for publication: Scalar product for the tensor operators of the quantum algebra Ŭ_q(su₂) by the Wigner–Eckart theorem