Boson–fermion representations of Lie superalgebras: The example of osp(1,2)

DOI10.1063/1.525373zbMath0635.17010OpenAlexW1556068717MaRDI QIDQ3774040

W. Lassner, Pavel Exner, Jiří Blank, Miloslav Havlíček

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1063/1.525373

zbMATH Keywords

graded Lie algebrasLie superalgebrasinfinite-dimensional representations of osp(1,2)

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Superalgebras (17A70) Graded Lie (super)algebras (17B70)

Related Items (5)

Boson fermion realizations for the super-rotation algebra ⋮ Reducible Boson fermion realizations for osp(1‖2) and osp(3‖2) superalgebras ⋮ Lie superalgebras ⋮ Realization of Lie algebras and superalgebras in terms of creation and annihilation operators. I ⋮ Irreducible *-representations of Lie superalgebras B(0,n) with finite-degenerated vacuum

Cites Work

• Classification of some 2-graded Lie algebras
• Particle spin dynamics as the Grassmann variant of classical mechanics
• Representations of a para-Bose algebra using only a single Bose field
• Graded Lie algebras in mathematics and physics (Bose-Fermi symmetry)
• Fourth degree Casimir operator of the semisimple graded Lie algebra (Sp(2N); 2N)
• Semisimple graded Lie algebras
• On the structure of simple pseudo Lie algebras and their invariant bilinear forms
• Classification of all simple graded Lie algebras whose Lie algebra is reductive. I
• Graded Lie algebras: Generalization of Hermitian representations
• Irreducible representations of the osp(2,1) and spl(2,1) graded Lie algebras
• Simple supersymmetries
• Classification and construction of finite dimensional irreducible representations of the graded algebras; application to the (Sp(2n); 2n) algebra
• Lie superalgebras

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