Racah coefficients and 6−j symbols for the quantum superalgebra Uq (osp(1‖2))

DOI10.1063/1.531166zbMath0834.17019OpenAlexW2069190889MaRDI QIDQ4837397

Marek Mozrzymas, Pierre Minnaert

Publication date: 31 October 1995

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

Full work available at URL: https://doi.org/10.1063/1.531166

zbMATH Keywords

quantum superalgebracoupling coefficients\(6j\) symbols\(3j\) coefficients\(q\)-super analogs of the Racah coefficients

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) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Related Items (3)

The quantum superalgebra \(\mathfrak{osp}_q(1| 2)\) and a \(q\)-generalization of the Bannai-Ito polynomials ⋮ Analytical formulas for Racah coefficients and 6-j symbols of the quantum superalgebra Uq(osp(1|2)) ⋮ 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)
• Relations for Clebsch–Gordan and Racah coefficients in suq(2) and Yang–Baxter equations
• Racah–Wigner calculus for the super-rotation algebra. I
• Irreducible representations of the osp(2,1) and spl(2,1) graded Lie algebras
• The super-rotation Racah–Wigner calculus revisited
• Clebsch–Gordan coefficients for the quantum superalgebra Uq (osp(1‖2))

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