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Factorial representations of path groups
Authors:S Albeverio  R Høegh-Krohn  D Testard  A Vershik
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.
Abstract:The reduction of the energy representation of the group of mappings from I = 0, 1], S11, R+ or R 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=R, is proved.
Keywords:
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