On Koszul duality for Kac-Moody groups

  title={On Koszul duality for Kac-Moody groups},
  author={ZHIWEI YUN},
  • Published 2013
For any Kac-Moody group G with Borel B, we give a monoidal equivalence between the derived category of B-equivariant mixed complexes on the flag variety G/B and (a certain completion of) the derived category of G∨monodromic mixed complexes on the enhanced flag variety G∨/U∨, here G∨ is the Langlands dual of G. We also prove variants of this equivalence, one of which is the equivalence between the derived category of U-equivariant mixed complexes on the partial flag variety G/P and a certain… CONTINUE READING

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