One-Parameter Coherent State Representation of the spl(2,1) Superalgebra

One-parameter general coherent states of the spl(2,1) superalgebra are constructed and their properties are discussed in detail. One-parameter matrix elements of the spl(2,1) generators in the one-parameter general coherent-state space are calculated. The parameter α may be related to the interaction parameter U in one exactly solvable model for correlated electrons.