The exponential map for representations ofU
p,q
(gl(2)) |
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Authors: | Joris Van der Jeugt Ramaswamy Jagannathan |
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Institution: | (1) Department of Applied Mathematics and Computer Science, University of Ghent, Krijgslaan 281-S9, B-9000 Gent, Belgium;(2) The Institute of Mathematical Sciences, 600113 Madras, India |
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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.Presented at the 4th International Colloquium Quantum Groups and Integrable Systems , Prague, 22–24 June 1995. |
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Keywords: | |
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