A candidate for a noncompact quantum group |
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| Authors: | Frederic Bidegain |
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| Affiliation: | (1) Laboratoire d'Algère et d'Analyse: Théorie des Représentations, Physique-Mathématique, Université de Bourgogne, BP 138, F-21 004 Dijon Cedex, France |
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| Abstract: | A previous letter (Bidegain, F. and Pinczon, G:Lett. Math. Phys.33 (1995), 231–240) established that the star-product approach of a quantum group introduced by Bonneau et al. can be extended to a connected locally compact semisimple real Lie group. The aim of the present Letter is to give an example of what a noncompact quantum group could be. From half of the discrete series ofSL(2, ), a new type of quantum group is explicitly constructed. |
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| Keywords: | 17B37 16W30 22D10 46H99 |
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