Corpus ID: 18205637

The Character Theory of a Complex Group

  title={The Character Theory of a Complex Group},
  author={David D. Ben-Zvi and D. Nadler},
  journal={arXiv: Representation Theory},
We apply the ideas of derived algebraic geometry and topological field theory to the representation theory of reductive groups. Our focus is the Hecke category of Borel-equivariant D-modules on the flag variety of a complex reductive group G (equivalently, the category of Harish Chandra bimodules of trivial central character) and its monodromic variant. The Hecke category is a categorified analogue of the finite Hecke algebra, which is a finite-dimensional semi-simple symmetric Frobenius… Expand
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