Level-0 action of Uq((sl)over-capn) on the q-deformed Fock spaces

On the level-1 Fock space modules of the algebra U-q(<(sl)over cap (n)>) we define a level-0 action U-0 of the U-q'(<(sl)over cap (n)>), and an action of an Abelian algebra of conserved Hamiltonians commuting with the U-0. An irreducible decomposition of the Fock space with respect to the level-0 action is derived by constructing a base of the Fock space in terms of the Non-symmetric Macdonald Polynomials.