The superalgebra embedding of OSP(1‖2) in SL(1‖2) and the grade star representations of SL(1‖2)

DOI10.1063/1.530438zbMath0812.17023OpenAlexW2089591053MaRDI QIDQ4317975

Michel Daumens

Publication date: 24 January 1995

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

Full work available at URL: http://cds.cern.ch/record/257633

zbMATH Keywords

grade star representationsembedding of Lie superalgebrasLie superalgebras sl(1/2)

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 (1)

Relations between the Casimir operators of sl(1|2) and osp(2|2) superalgebras

Cites Work

• The group with Grassmann structure UOSP(1.2)
• Racah–Wigner calculus for the super-rotation algebra. I
• 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
• A simple differential operator realization of the super-rotation algebra
• The super-rotation Racah–Wigner calculus revisited
• Super angular momentum and super spherical harmonics
• Boson fermion realizations for the super-rotation algebra

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