The exponential map for representations ofUp,q(gl(2))
Abstract
For the quantum groupGL p,q (2) and the corresponding quantum algebraU p,q (gl(2)) Fronsdal and Galindo [Lett. Math. Phys.27 (1993) 59] explicitly constructed the so-called universalT-matrix. In a previous paper [J. Phys. A28 (1995) 2819] we showed how this universalT-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 universalT-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 universalR-matrix is discussed.
- Publication:
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Czechoslovak Journal of Physics
- Pub Date:
- February 1996
- DOI:
- 10.1007/BF01688821
- arXiv:
- arXiv:q-alg/9507009
- Bibcode:
- 1996CzJPh..46..269V
- Keywords:
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- Mathematics - Quantum Algebra
- E-Print:
- LaTeX-file, 7 pages. Submitted for the Proceedings of the 4th International Colloquium ``Quantum Groups and Integrable Systems,'' Prague, 22-24 June 1995