Central Elements for Quantum Affine Algebras and Affine Macdonald ’ S Operators

@inproceedings{Etingof1994CentralEF,
  title={Central Elements for Quantum Affine Algebras and Affine Macdonald ’ S Operators},
  author={Pavel Etingof},
  year={1994}
}
A theorem of Harish-Chandra says that the center of the universal enveloping algebra U(g) of a complex simple Lie algebra g is isomorphic to the Grothendieck algebra of the category of finite dimensional representations of g. However, this theorem does not furnish a natural identification of these two algebras. The situation improves when we pass from Lie algebras to quantum groups. The structure of the center of the quantum group Uq(g) was described by V. Drinfeld [Dr1] and N. Reshetikhin [R… CONTINUE READING

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