Exponential mapping for non-semisimple quantum groups

Abstract
The concept of a universal T matrix, introduced by Fronsdal and Galindo (1993) in the framework of quantum groups, is discussed here as a generalization of the exponential mapping. New examples related to inhomogeneous quantum groups of physical interest are developed, the duality calculations are explicitly presented and it is found that in some cases the universal T matrix, as for Lie groups, is expressed in terms of usual exponential series.

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