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On the Relation Between U q (sl(2)) Vertex Operators and q-Zonal Functions

Authors:	VAN HAMID BOUGOURZI A VINET LUC

Institution:	(1) Centre de recherches mathématiques, Université de Montréal, CP 6128, succ. Centre-ville, Montréal, QC, H3C 3J7, Canada

Abstract:	We show how the states constructed from the action of the modes of bosonized vertex operators that intertwine U ${\text{U}}_q ({\text{s}}\widehat{{\text{l}}(2)})$ modules are related toq -zonal functions.

Keywords:	vertex operators q-zonal functions quantum affine algebras
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