  We derive the Lax connection of the free fermion model on a lattice starting
from the fermionic formulation of Bazhanov-Stroganov's three-parameter elliptic
parametrization for the R-operator. It results in the Yang-Baxter and decorated
Yang-Baxter equations of difference type in one of the spectral parameters,
which is the most suitable form to obtain any relativistic model of free
fermions in the continuous limit.
