Representations of the non-semisimple superalgebra gls2u2d in the standard basis
are investigated by means of the vector coherent state method and boson-fermion
realization. All finite-dimensional irreducible typical and atypical representations
and lowest weight (indecomposable) Kac modules of gls2u2d are constructed explicitly
through the explicit construction of all gls2d % gls2d particle states (multiplets)
in terms of boson and fermion creation operators in the super-Fock space.
This gives a unified and complete treatment of finite-dimensional representations of
gls2u2d in explicit form, essential for the construction of primary fields of the
corresponding current superalgebra at arbitrary level