On deformed W-algebras and quantum affine algebras
Abstract
Description
We discuss some aspects of the deformed W-algebras W_{q,t}[g]. In particular, we derive an explicit formula for the Kac determinant, and discuss the center when t^2 is a primitive k-th root of unity. The relation of the structure of W_{q,t}[g] to the representation ring of the quantum affine algebra U_q(\hat g), as discovered recently by Frenkel and Reshetikhin, is further elucidated in some examples.
40 pages, plain TeX with amssym.def, improved referencing
40 pages, plain TeX with amssym.def, improved referencing