The Elliptic Algebra U_{q,p}(sl_N^) and the Deformation of W_N Algebra
arXiv:math/0307244 · doi:10.1088/0305-4470/37/2/008
Abstract
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 fusion of the vertex operators of U_{q,p}(sl_N^). The basic generating functions Λ_j(z) (j=1,2,.. N-1) of the deformed W_N algebra are derived explicitly.
15 pages, to appear in Journal of physics A special issue - RAQIS03