1 THE EXPONENTIAL MAP FOR REPRESENTATIONS OF Up,q(gl(2)) †
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چکیده
For the quantum group GLp,q(2) and the corresponding quantum algebra Up,q(gl(2)) Fronsdal and Galindo [1] explicitly constructed the so-called universal T -matrix. In a previous paper [2] 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.
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