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

Author: Boris Feigin; Edward Frenkel
Publisher: Kyoto, Japan : Kyoto University, Research Institute for Mathematical Sciences, [1991]
Series: Kyōto Daigaku.; Sūri Kaiseki Kenkyūjo.; Technical report
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
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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Document Type: Book
All Authors / Contributors: Boris Feigin; Edward Frenkel
OCLC Number: 27834848
Notes: "RIMS91 project 'infinite analysis', June 1 - August 31, 1991, Contributed papers no. 18."
"September 1991"--Cover.
Description: 23 pages ; 21 cm.
Series Title: Kyōto Daigaku.; Sūri Kaiseki Kenkyūjo.; Technical report
Responsibility: by Boris Feigin and Edward Frenkel.

Abstract:

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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