http://worldcat.org/entity/work/id/25882862

Affine Kac-Moody algebras at the critical level and Gelfand-Dikii algebras

Abstract: "We prove Drinfeld's conjecture that the center of a certain completion of the universal enveloping algebra of an affine Kac- Moody algebra at the critical level is isomorphic to the Gelfand-Dikii algebra, associated to the Langlands dual algebra. The center is identified with a limit of the W-algebra, defined by means of the quantum Drinfeld-Sokolov reduction."

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