The exponential map for representations of $U_{p,q}(gl(2))$

Details The exponential map for representations of $U_{p,q}(gl(2))$ The exponential map for representations of $U_{p,q}(gl(2))$

1995-07-13

arxiv.org/abs/q-alg/9507009v1

Mathematics

Quantum Algebra

LaTeX-file, 7 pages. Submitted for the Proceedings of the 4th International Colloquium ``Quantum Groups and Integrable Systems

Scientific paper

10.1007/BF01688821

For the quantum group $GL_{p,q}(2)$ and the corresponding quantum algebra $U_{p,q}(gl(2))$ Fronsdal and Galindo explicitly constructed the so-called universal $T$-matrix. In a previous paper we showed how this universal $T$-matrix can be used to exponentiate representations from the quantum algebra to get representations (left comodules) for the quantum group. Here, further properties of the universal $T$-matrix are illustrated. In particular, it is shown how to obtain comodules of the quantum algebra by exponentiating modules of the quantum group. Also the relation with the universal $R$-matrix is discussed.

Affiliated with

Also associated with

No associations

Rating

The exponential map for representations of $U_{p,q}(gl(2))$ 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 The exponential map for representations of $U_{p,q}(gl(2))$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The exponential map for representations of $U_{p,q}(gl(2))$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-53525