Central elements for quantum affine algebras and affine Macdonald's operators

Abstract

We describe a generalization of Drinfeld's description of the center of a quantum group to the case of quantum affine algebras. We use the obtained central elements to construct the affine analogue of Macdonald's difference operators.

arXiv comment13 pages, amstex

References in corpus (1)

• Algebraic integrability of Schrödinger operators and representations of Lie algebras