Canonical and differential realizations of OSP(3‖2) superalgebra

DOI10.1063/1.530033zbMath0780.17003OpenAlexW2004078153MaRDI QIDQ3141409

Michel Daumens

Publication date: 7 February 1994

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

Full work available at URL: https://doi.org/10.1063/1.530033

zbMATH Keywords

eigenvalue problemcanonical realizationvectorial representation\(\text{osp}(3| 2)\) superalgebradifferential realizationssuper-rotation algebrasuperspherical harmonics

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 (3)

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

Cites Work

• The group with Grassmann structure UOSP(1.2)
• 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)
• 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
• Super angular momentum and super spherical harmonics

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