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

摘要

One-parameter homogeneous differential realization of the SPL(2,1) superalgebra on the space of homogeneous polynomials and the corresponding boson-fermion realization are studied. The parameter alpha may be related to the interaction parameter U in one exactly solvable model for correlated electrons.