Racah–Wigner calculus for the super-rotation algebra. I

DOI10.1063/1.529683zbMath0774.17005OpenAlexW1986157494MaRDI QIDQ4019985

Marek Mozrzymas, Pierre Minnaert

Publication date: 16 January 1993

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

Full work available at URL: https://doi.org/10.1063/1.529683

zbMATH Keywords

Racah-Wigner calculussymmetric propertiessuper-rotation algebrapseudo-orthogonality relationssuper-rotation 3-\(j\) symbolssuper-rotation 6-\(j\) symbolssuper-rotation Clebsch-Gordan coefficients

Mathematics Subject Classification ID

Superalgebras (17A70) Graded Lie (super)algebras (17B70)

Related Items (11)

Relations between the Casimir operators of sl(1|2) and osp(2|2) superalgebras ⋮ 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)) ⋮ Algebraic structure of tensor superoperators for the super-rotation algebra. II ⋮ Reducible Boson fermion realizations for osp(1‖2) and osp(3‖2) superalgebras ⋮ 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 ⋮ The super-rotation Racah–Wigner calculus revisited ⋮ Super angular momentum and super spherical harmonics

Cites Work

• The group with Grassmann structure UOSP(1.2)
• Racah coefficients of the Lie superalgebra OSP(1, 2)
• Linear realizations of the superrotation and super-Lorentz symmetries. 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

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