  Based on the revealed hidden supergroup structure, we develop a new approach
to the Hubbard model. We reveal a relation of even Hubbard operators to the
spinor representation of the generators of the rotation group of
four-dimensional spaces. We propose a procedure for constructing a matrix
representation of translation generators, yielding a curved space on which
dynamic superfields are defined. We construct a new deformed nonlinear
superalgebra for the regime of spinless Hubbard model fermions in the case of
large on-site repulsion and evaluate the effective functional for spinless
fermions.
