QUANTUM ALGEBRA AS DEFORMATION SYMMETRY

The deformation maps as well as the general algebraic maps among algeb ras with three generators are systematically investigated in terms of symplectic geometry and geometric quantization on 2-D manifolds, from which the explicit Hamiltonian of Heisenberg model with SUq(2) symmetr y and arbitrary spin values are given. The deformation symmetries in d ifferential dynamical systems and the q-deformed transformations of SO (3) group in usual R(3) are also discussed.