Universal R-matrix for esoteric quantum groups

The universal R-matrix for a class of esoteric (nonstandard) quantum groups U-q(gl(2N + 1)) is constructed as a twisting of the universal R-matrix R-S of the Drinfeld-Jimbo quantum algebras. The main part of the twisting cocycle F is chosen to be the canonical element of an appropriate pair of separated Hopf subalgebras (quantized Borel's B(N) subset of U-q(gl(2N + 1))), providing the factorization property of F. As a result, the esoteric quantum group generators can be expressed in terms of Drinfeld and jimbo.