Universal R-matrix for esoteric quantum group

Details Universal R-matrix for esoteric quantum group Universal R-matrix for esoteric quantum group

1998-04-02

arxiv.org/abs/math/9804006v1

Mathematics

Quantum Algebra

12 pages, LaTeX

Scientific paper

The universal $R$-matrix for a class of esoteric (non-standard) quantum groups ${\cal U}_q(gl(2N+1))$ is constructed as a twisting of the universal $R$-matrix ${\cal R}_S$ of the Drinfeld-Jimbo quantum algebras. The main part of the twisting element ${\cal F}$ is chosen to be the canonical element of appropriate pair of separated Hopf subalgebras (quantized Borel's ${\cal B}(N) \subset {\cal U}_q(gl(2N+1))$), providing the factorization property of ${\cal F}$. As a result, the esoteric quantum group generators can be expressed in terms of the Drinfeld-Jimbo ones.

Affiliated with

Also associated with

No associations

Rating

Universal R-matrix for esoteric quantum group does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Universal R-matrix for esoteric quantum group, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Universal R-matrix for esoteric quantum group will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-121743