Geometric realizations of Wakimoto modules at the critical level

Details Geometric realizations of Wakimoto modules at the critical level Geometric realizations of Wakimoto modules at the critical level

2006-03-22

arxiv.org/abs/math/0603524v1

Mathematics

Representation Theory

Scientific paper

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 describe explicitly geometric realizations of the 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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