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Exponential mapping for non semisimple quantum groups

High Energy Physics - Theory 2009-10-22 v3 Quantum Algebra

Abstract

The concept of universal T matrix, recently introduced by Fronsdal and Galindo in the framework of quantum groups, is here discussed 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, like for Lie groups, is expressed in terms of usual exponential series.

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Cite

@article{arxiv.hep-th/9311114,
  title  = {Exponential mapping for non semisimple quantum groups},
  author = {F. Bonechi and Enrico Celeghini and R. Giachetti and C. M. Pereña and E. Sorace and M. Tarlini},
  journal= {arXiv preprint arXiv:hep-th/9311114},
  year   = {2009}
}

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12 pages