Boson fermion realizations for the super-rotation algebra

DOI10.1063/1.530625zbMath0817.17005OpenAlexW1966890300MaRDI QIDQ4298606

Michel Daumens

Publication date: 8 August 1994

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

Full work available at URL: https://doi.org/10.1063/1.530625

zbMATH Keywords

super-rotation algebraLie superalgebra osp(1/2)\(B(0,1)\)boson fermion realization

Mathematics Subject Classification ID

Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Superalgebras (17A70)

Related Items

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)

Cites Work

• The group with Grassmann structure UOSP(1.2)
• Remarks on boson commutation rules
• Canonical and differential realizations of OSP(3‖2) superalgebra
• 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)]
• The super-rotation Racah–Wigner calculus revisited
• Super angular momentum and super spherical harmonics
• Supersymmetries of the superspace E(3‖2)