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Bosonization of Admissible Representation of Uq(sl2) at level -1/2
Authors:KOYAMA  YOSHITAKA
Institution:(1) Research Institute for Mathematical Sciences, Kyoto University, Kyoto, 606, Japan
Abstract:We construct a representation of Uq(sl2) at level -1/2 by using the bosonic Fock spaces. The irreducible modules are obtained as the kernel of a certain operator, in contrast to the construction by Feingold and Frenkel for q = 1 where such a procedure is not necessary. We also bosonize the q-vertex operators associated with the vector representation.
Keywords:bosonization  admissible representation  q-vertex operator
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