The exponential map for representations of $U_{p,q}(gl(2))$
q-alg
2009-10-28 v1 Quantum Algebra
Abstract
For the quantum group and the corresponding quantum algebra Fronsdal and Galindo explicitly constructed the so-called universal -matrix. In a previous paper we showed how this universal -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 -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 -matrix is discussed.
Cite
@article{arxiv.q-alg/9507009,
title = {The exponential map for representations of $U_{p,q}(gl(2))$},
author = {J. Van der Jeugt and R. Jagannathan},
journal= {arXiv preprint arXiv:q-alg/9507009},
year = {2009}
}
Comments
LaTeX-file, 7 pages. Submitted for the Proceedings of the 4th International Colloquium ``Quantum Groups and Integrable Systems,'' Prague, 22-24 June 1995