The Elliptic Algebra U_{q,p}(sl_N^) and the Deformation of W_N Algebra

Details The Elliptic Algebra U_{q,p}(sl_N^) and the Deformation of W_N Algebra The Elliptic Algebra U_{q,p}(sl_N^) and the Deformation of W_N Algebra

2003-07-17

arxiv.org/abs/math/0307244v1

Mathematics

Quantum Algebra

15 pages, to appear in Journal of physics A special issue - RAQIS03

Scientific paper

10.1088/0305-4470/37/2/008

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 \Lambda_j(z) (j=1,2,.. N-1) of
the deformed W_N algebra are derived explicitly.

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