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15 May 2008 Geometric realizations of Wakimoto modules at the critical level
Edward Frenkel, Dennis Gaitsgory
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Duke Math. J. 143(1): 117-203 (15 May 2008). DOI: 10.1215/00127094-2008-017

Abstract

We study the Wakimoto modules over the affine Kac-Moody algebras at the critical level from the point of view of the equivalences of categories proposed in our previous works, relating categories of representations and certain categories of sheaves. In particular, we explicitly describe geometric realizations of Wakimoto modules as Hecke eigen-D-modules on the affine Grassmannian and as quasi-coherent sheaves on the flag variety of the Langlands dual group

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Edward Frenkel. Dennis Gaitsgory. "Geometric realizations of Wakimoto modules at the critical level." Duke Math. J. 143 (1) 117 - 203, 15 May 2008. https://doi.org/10.1215/00127094-2008-017

Information

Published: 15 May 2008
First available in Project Euclid: 23 May 2008

zbMATH: 1215.17016
MathSciNet: MR2414746
Digital Object Identifier: 10.1215/00127094-2008-017

Subjects:
Primary: 17B67
Secondary: 81R10

Rights: Copyright © 2008 Duke University Press

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Vol.143 • No. 1 • 15 May 2008
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