On deformed W-algebras and quantum affine algebras
Abstract
We discuss some aspects of the deformed W-algebras Wq,t[g]. In particular, we derive an explicit formula for the Kac determinant, and discuss the center when t2 is a primitive k-th root of unity. The relation of the structure of Wq,t[g] to the representation ring of the quantum affine algebra Uq( g), as discovered recently by Frenkel and Reshetikhin, is further elucidated in some examples.
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