The article introduces a new way to understand a quantum group called SU(1,1)q. The researchers show how this group can be represented using a method called the Dyson realization, and they also explain how this can be transformed into another representation called the Holstein-Primakoff realization. They then discuss a special type of state called a coherent state within this framework, which they find to be a q-deformed version of a well-known coherent state called the Weyl-Heisenberg coherent state.