Convex PBW-type Lyndon bases and restricted two-parameter quantum groups of type B

We construct convex PBW-type Lyndon bases for two-parameter quantum groups Ur,s(so2n+1) with detailed commutation relations. It turns out that under a certain condition, the restricted two-parameter quantum group ur,s(so2n+1) (r,s are roots of unity) is a Drinfel'd double. All Hopf isomorphisms of ur,s(so2n+1), as well as ur,s(sln), are determined. Finally, necessary and sufficient conditions for ur,s(so2n+1) to be a ribbon Hopf algebra are singled out by describing the left and right integrals.