量子群SU(2)_q和SU(1,1)_q的一类新的表示

A New Kind of Realizations of the Quantum Groups SU(1,1)_q and SU(2)_q

本文中我们讨论了SU(2)_q和SU(1,1)_q的各种q-Bose子算符构造的表示,用广义q-Bose子算符构造了SU(2)_q和SU(1.1)_q的一类新的q畸变Dyson表示并讨论了它们的性质。

The q-deformed boson realizations of the quantum groups SU(2)_q and SU(1,1)_q are dis-cussed.A new kind of q-deformed Dyson realizations of the quantum groups SU(1,1)_q and SU(2)_q are con-structed in terms of the generalized q-boson operators,and their properties are discussed.