WIGNER–ECKART THEOREM FOR TENSOR OPERATORS OF HOPF ALGEBRAS

DOI10.1142/S0219887805000594zbMath1075.16018arXivmath-ph/0404019MaRDI QIDQ5696529

Marek Mozrzymas

Publication date: 18 October 2005

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

Full work available at URL: https://arxiv.org/abs/math-ph/0404019

zbMATH Keywords

Hopf algebrastensor operatorsWigner-Eckart theorem

Mathematics Subject Classification ID

Related Items (4)

Scalar product for the tensor operators of the quantum algebra Ŭ_q(su₂) by the Wigner–Eckart theorem ⋮ 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 \(\breve{U}_q(su_2)\) ⋮ Invariants and reduced matrix elements associated with the Lie superalgebra gl(m|n)

Cites Work

• On q-tensor operators for quantum groups
• 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
• Relations for Clebsch–Gordan and Racah coefficients in suq(2) and Yang–Baxter equations
• QUASITRIANGULAR HOPF ALGEBRAS AND YANG-BAXTER EQUATIONS
• Tensor operators for quantum groups and applications

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