A Basis Of Type Poincare-Birkhoff-Witt For An Another Admissible Quantum Affine Group Of Type A₁^（1）

In this paper,we define a class of admissible quantum affine algebras(?)of type which have the Drinfel’d double structures.In particular,for the admissi-ble quantum affine algebra Uq’(sl(2))we defined with the quantum structural constant matrix:(?)we prove and give an explicit Poincare-Birkhofi-Witt basis of it.