Corpus ID: 119143381

Representations of Reductive Groups over Quotients of Local Rings

  title={Representations of Reductive Groups over Quotients of Local Rings},
  author={A. Stasinski},
  journal={arXiv: Representation Theory},
  • A. Stasinski
  • Published 2003
  • Mathematics
  • arXiv: Representation Theory
In some recent work, Lusztig outlined a generalisation of the construction of Deligne and Lusztig to reductive groups over finite rings coming from the ring of integers in a local field, modulo some power of the maximal ideal. Lusztig conjectures that all irreducible representations of these groups are contained in the cohomology of a certain family of varieties. We show that, contrary to what was expected, there exist representations that cannot be realised by the varieties given by Lusztig… Expand