Super angular momentum and super spherical harmonics

DOI10.1063/1.530134zbMath0780.17002OpenAlexW2033694478MaRDI QIDQ4203230

Michel Daumens

Publication date: 8 September 1993

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

Full work available at URL: https://doi.org/10.1063/1.530134

zbMATH Keywords

super-rotation algebrasuper-angular momentumsuper-spherical harmonic calculus

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 (7)

Supersymmetries of the superspace E(3‖2) ⋮ Boson fermion realizations for the super-rotation algebra ⋮ Reducible Boson fermion realizations for osp(1‖2) and osp(3‖2) superalgebras ⋮ The superalgebra embedding of OSP(1‖2) in SL(1‖2) and the grade star representations of SL(1‖2) ⋮ The super-rotation Racah–Wigner calculus revisited ⋮ The fuzzy supersphere ⋮ Canonical and differential realizations of OSP(3‖2) superalgebra

Cites Work

• The group with Grassmann structure UOSP(1.2)
• Racah–Wigner calculus for the super-rotation algebra. I
• 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
• A simple differential operator realization of the super-rotation algebra
• The super-rotation Racah–Wigner calculus revisited

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