Abstract
We develop a theory of perverse sheaves on the semi-infinite flag manifold G((t))/N((t)) · T[[t]], and show that the subcategory of Iwahori-monodromy perverse sheaves is equivalent to the regular block of the category of representations of the small quantum group at an even root of unity.
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Arkhipov, S., Bezrukavnikov, R., Braverman, A. et al. Modules over the small quantum group and semi-infinite flag manifold. Transformation Groups 10, 279–362 (2005). https://doi.org/10.1007/s00031-005-0401-5
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DOI: https://doi.org/10.1007/s00031-005-0401-5