Clebsch–Gordan coefficients for the quantum superalgebra Uq (osp(1‖2))

DOI10.1063/1.530881zbMath0818.17015OpenAlexW2041929332MaRDI QIDQ4314282

Marek Mozrzymas, Pierre Minnaert

Publication date: 7 December 1994

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

Full work available at URL: https://doi.org/10.1063/1.530881

zbMATH Keywords

tensor productfinite-dimensional representationsprojection operator\(q\)-analog of the Clebsch-Gordan coefficientsquantum superalgebra \(U_ q (\text{osp} (1| 2))\)

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) Superalgebras (17A70) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Related Items (4)

Racah coefficients and 6−j symbols for the quantum superalgebra Uq (osp(1‖2)) ⋮ Analytical formulas for Racah coefficients and 6-j symbols of the quantum superalgebra Uq(osp(1|2)) ⋮ Solutions to the Yang-Baxter equations with \(osp_q(1|2)\) symmetry: Lax operators ⋮ Representation properties, Racah sum rule, and Biedenharn–Elliott identity for Uq(osp(1|2))

Cites Work

• Universal R-matrix of the quantum superalgebra osp(2\(| 1)\)
• The group with Grassmann structure UOSP(1.2)
• Real forms of U_q(OSp(1/2)) and quantum D=2 supersymmetry algebras
• Racah–Wigner calculus for the super-rotation algebra. I
• Algebraic structure of tensor superoperators for the super-rotation algebra. II
• Semisimple graded Lie algebras
• Graded Lie algebras: Generalization of Hermitian representations
• Irreducible representations of the osp(2,1) and spl(2,1) graded Lie algebras
• The super-rotation Racah–Wigner calculus revisited

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