On deformed W-algebras and quantum affine algebras

Details On deformed W-algebras and quantum affine algebras On deformed W-algebras and quantum affine algebras

1998-01-25

arxiv.org/abs/math/9801112v2

Adv.Theor.Math.Phys.2:357-397,1998

Mathematics

Quantum Algebra

40 pages, plain TeX with amssym.def, improved referencing

Scientific paper

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.

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