Reducible Boson fermion realizations for osp(1‖2) and osp(3‖2) superalgebras

DOI10.1063/1.530520zbMath0812.17024OpenAlexW1980774916MaRDI QIDQ4314234

Michel Daumens

Publication date: 11 December 1994

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

Full work available at URL: https://doi.org/10.1063/1.530520

zbMATH Keywords

Fock spacesorthosymplectic Lie superalgebrasboson fermion realizations

Mathematics Subject Classification ID

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

Cites Work

• The group with Grassmann structure UOSP(1.2)
• Canonical and differential realizations of OSP(3‖2) superalgebra
• Formal relations between classical superalgebras and fermion–boson creation and annihilation operators
• Representations of low-rank orthosymplectic superalgebras by superfield techniques
• Finite- and infinite-dimensional representations of the orthosymplectic superalgebra OSP(3,2)
• Boson–fermion representations of Lie superalgebras: The example of osp(1,2)
• Casimir invariants and characteristic identities for generators of the general linear, special linear and orthosymplectic graded Lie algebras
• Representations of Osp(2, 1) and the metaplectic representation
• Racah–Wigner calculus for the super-rotation algebra. I
• Racah-type expressions for the 6j coefficients of the orthosymplectic superalgebra osp(1,2)
• Semisimple graded Lie algebras
• Graded Lie algebras: Generalization of Hermitian representations
• A simple differential operator realization of the super-rotation algebra
• Boson–fermion models for osp(1,2) and U q[osp(1,2)]
• Super angular momentum and super spherical harmonics
• Supersymmetries of the superspace E(3‖2)
• Boson fermion realizations for the super-rotation algebra

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