On The Center Of Two-parameter Quantum Groups U_{r, S}(SO_2n+1)

The paper mainly considers the center of two-parameter quantum groups Ur,s(so2n+1) via an analogue of the Harish-Chandra homomorphism. In the case that n is odd, the Harish-Chandra homomorphism is not injective in general.When n is even, the Harish-Chandra homomorphism is injective and the paper deter-mines the center of two-parameter quantum groups Ur,s(so4n+1) in the meaning of isomorphism.