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It is shown that the Clifford superalgebra Cl(n|m) generated by m pairs ofBose operators (odd elements) anticommuting with n pairs of Fermi operators(even elements) can be deformed to Cl_q(n|m) such that the latter is ahomomorphic image of the quantum superalgebra U_q[osp(2n+1|2m)]. The Fock spaceF(n|m) of Cl_q(n|m) is constructed. At q being a root of unity (q=\exp ({i\pil/k})) q-bosons (and q-fermions) are operators acting in a finite-dimensionalsubspace F_{l/k}(n|m) of F(n|m). Each F_{l/k}(n|m) is turned through the abovementioned homomorphism into an irreducible (root of unity) U_q[osp(2n+1|2m)]module. For q being a primitive root of unity (l=1) the correspondingrepresentation is unitary. The module F_{1/k}(n|m) is decomposed into a directsum of irreducible U_q[sl(m|n)] submodules. The matrix elements of allCartan-Weyl elements of U_q[sl(m|n)] are given within each such submodule.Comment: 15 page

journal of physics. a, mathematical and general/journal of physics. a, mathematical and general

Deformed CliffordClq(n m) and orthosymplecticUq[osp(2n 1 2m)] superalgebras and their root of unity representations