A simple differential operator realization of the super-rotation algebra

DOI10.1063/1.530171zbMath0779.17027OpenAlexW1985591106MaRDI QIDQ4201719

Yves Noirot, Michel Daumens

Publication date: 6 September 1993

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

Full work available at URL: https://doi.org/10.1063/1.530171

zbMATH Keywords

representationGrassmann algebradifferential operator realizationgraded \(\text{su}(2)\) algebrasimple five-dimensional Lie superalgebra \(\text{osp}(1/2)\)super- rotation algebra

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Graded Lie (super)algebras (17B70)

Related Items

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) ⋮ Super angular momentum and super spherical harmonics

Cites Work

• The group with Grassmann structure UOSP(1.2)
• Linear realizations of the superrotation and super-Lorentz symmetries. I
• Casimir invariants and characteristic identities for generators of the general linear, special linear and orthosymplectic graded Lie algebras
• 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