  We present a gauge formulation of the special affine algebra extended to
include an antisymmetric tensorial generator belonging to the tensor
representation of the special linear group. We then obtain a Maxwell modified
metric affine gravity action with a cosmological constant term. We find the
field equations of the theory and show that the theory reduces to an
Einstein-like equation for metric affine gravity with the source added to the
gravity equations with cosmological constant \mu contains linear contributions
from the new gauge fields. The reduction of the Maxwell metric affine gravity
to Riemann-Cartan one is discussed and the shear curvature tensor corresponding
to the symmetric part of the special linear connection is identified with the
dark energy. Furthermore, the new gauge fields interpreted as geometrical
inflaton vector fields which drive accelerated expansion.
