  New functional representation for the strongly interacting systems is
proposed which contains a new type of the quantum coherent state. As a result
the new algebraic structure- so called "tower of algebras" appears which gives
the tower (or hierarchy) of models. Generalization of Gutzwiller approximation
in theory of metal-insulator phase transition is obtained. It is shown that the
deformation parameters may be relevant to the order parameters in the physics
of strongly correlated systems.
