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math.QA2005
The Vertex-Face Correspondence and Correlation Functions of the Fusion Eight-Vertex Model I: The General Formalism
Takeo Kojima, Hitoshi Konno, Robert Weston
Based on the vertex-face correspondence, we give an algebraic analysis formulation of correlation functions of the fusion eight-vertex model in terms of the correspondi…
math.QA2003
The Elliptic Algebra U_{q,p}(sl_N^) and the Deformation of W_N Algebra
Takeo Kojima, Hitoshi Konno
After reviewing the recent results on the Drinfeld realization of the face type elliptic quantum group B_{q,lambda}(sl_N^) by the elliptic algebra U_{q,p}(sl_N^), we investigate a…
math.QA2002
The elliptic algebra U_{q,p}(\hat{sl}_N) and the Drinfeld realization of the elliptic quantum group B_{q,λ}(\hat{sl}_N)
Takeo Kojima, Hitoshi Konno
By using the elliptic analogue of the Drinfeld currents in the elliptic algebra U_{q,p}(\hat{sl}_N), we construct a L-operator, which satisfies the RLL-relations characterizing the…