The elliptic algebra Uq,p( ̂ slN ) and the deformation of the WN algebra
نویسنده
چکیده
After reviewing the recent results on the Drinfeld realization of the face type elliptic quantum group Bq,λ(ŝlN ) by the elliptic algebra Uq,p(ŝlN ), we investigate a fusion of the vertex operators of Uq,p(ŝlN ). The basic generating functions Λj(z) (1 ≤ j ≤ N − 1) of the deformed WN algebra are derived explicitly.
منابع مشابه
The elliptic algebra Uq,p( ̂ slN ) and the Drinfeld realization of the elliptic quantum group Bq,λ( ̂ slN
By using the elliptic analogue of the Drinfeld currents in the elliptic algebra Uq,p(ŝlN ), we construct a L-operator, which satisfies the RLL-relations characterizing the face type elliptic quantum group Bq,λ(ŝlN ). For this purpose, we introduce a set of new currents Kj(v) (1 ≤ j ≤ N) in Uq,p(ŝlN ). As in the N = 2 case, we find a structure of Uq,p(ŝlN ) as a certain tensor product of Bq,λ(ŝl...
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تاریخ انتشار 2008