Factorial representations of path groups |
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Authors: | S Albeverio R Høegh-Krohn D Testard A Vershik |
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Institution: | Mathematisches Institut, Ruhr-Universität Bochum and Université d''Aix-Marseille II, Marseille, France;Université de Provence, Marseille, and Centre de Physique Théorique, CNRS Marseille, France;Département de Physique, Centre Universitaire d''Avignon et Centre de Physique Théorique, CNRS, Marseille, France;Mathematical Institute, University of Leningrad, U.S.S.R. |
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Abstract: | The reduction of the energy representation of the group of mappings from I = 0, 1], S11, + or into a compact semisimple Lie group G is given. For G = SU(2), the factoriality of the representation, which is of type III in the case I=, is proved. |
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