The super-rotation Racah–Wigner calculus revisited

DOI10.1063/1.530133zbMath0780.17001OpenAlexW1971637956MaRDI QIDQ4203229

Pierre Minnaert, Michel Daumens, Marek Mozrzymas

Publication date: 8 September 1993

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

Full work available at URL: https://doi.org/10.1063/1.530133

zbMATH Keywords

symmetryRacah-Wigner calculussuper-rotation algebraRacah \(6-j\) symbols

Mathematics Subject Classification ID

Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Superalgebras (17A70) Graded Lie (super)algebras (17B70)

Related Items (9)

Supersymmetries of the superspace E(3‖2) ⋮ Boson fermion realizations for the super-rotation algebra ⋮ Racah coefficients and 6−j symbols for the quantum superalgebra Uq (osp(1‖2)) ⋮ Clebsch–Gordan coefficients for the quantum superalgebra Uq (osp(1‖2)) ⋮ The superalgebra embedding of OSP(1‖2) in SL(1‖2) and the grade star representations of SL(1‖2) ⋮ Racah sum rule and Biedenharn–Elliott identity for the super-rotation 6−j symbols ⋮ Analytical formulas for Racah coefficients and 6-j symbols of the quantum superalgebra Uq(osp(1|2)) ⋮ Super angular momentum and super spherical harmonics ⋮ Wilson lines construction of \(\mathfrak{osp}(1|2)\) conformal blocks

Cites Work

• The group with Grassmann structure UOSP(1.2)
• 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
• Super angular momentum and super spherical harmonics
• On the Representations of the Rotation Group

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