One-parameter homogeneous differential realization and boson-fermion realization of the SPL(2,1) superalgebra

DOI10.1007/S10773-005-9015-XzbMath1117.81071OpenAlexW4237559207MaRDI QIDQ870772

Yong-Qing Chen

Publication date: 15 March 2007

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-005-9015-x

zbMATH Keywords

exactly solvable modelboson-fermion realizationhomogeneous differential realizationSPL(2,1) superalgebra

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Supersymmetry and quantum mechanics (81Q60)

Related Items (4)

One-parameter coherent state representation of the \(\mathrm{spl}(2,1)\) superalgebra ⋮ Super integrable hierarchies associated with spl(2, 1) and Darboux transformations ⋮ One-parameter inhomogeneous differential realization and Boson-Fermion realization of the \(\text{SPL}(2,1)\) superalgebra ⋮ On one-parameter supercoherent state of \(\mathrm{spl}(2,1)\) superalgebra

Cites Work

• Quantal problems with partial algebraization of the spectrum
• Quasi-exactly-solvable problems and sl(2) algebra
• Supercoherent state representation and an inhomogeneous differential realization of theSPL(2,1) superalgebra
• Branching rules for the supergroup SU(N/M) from those of SU(N+M)
• Differential realizations, boson-fermion realizations of the spl(2,1) superalgebra and its representations
• One-parameter inhomogeneous differential realizations and boson-fermion realizations of the gl\((2|1)\) superalgebra
• One-parameter indecomposable and irreducible representations of \(gl(2\mid 1)\) superalgebra

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