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The Elliptic Algebra Uq,p(slN) and the Deformation of WN Algebra

Takeo Kojima, Hitoshi Konno

math.QAarXiv:math/0307244

Abstract

After reviewing the recent results on the Drinfeld realization of the face type elliptic quantum group Bq,lambda(slN) by the elliptic algebra Uq,p(slN), we investigate a fusion of the vertex operators of Uq,p(slN). The basic generating functions Λj(z) (j=1,2,.. N-1) of the deformed WN algebra are derived explicitly.

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