Graded Hecke algebras for disconnected reductive groups

  title={Graded Hecke algebras for disconnected reductive groups},
  author={A. Aubert and A. Moussaoui and M. Solleveld},
  journal={arXiv: Representation Theory},
  • A. Aubert, A. Moussaoui, M. Solleveld
  • Published 2016
  • Mathematics
  • arXiv: Representation Theory
  • We introduce graded Hecke algebras H based on a (possibly disconnected) complex reductive group G and a cuspidal local system L on a unipotent orbit of a Levi subgroup M of G. These generalize the graded Hecke algebras defined and investigated by Lusztig for connected G. We develop the representation theory of the algebras H. obtaining complete and canonical parametrizations of the irreducible, the irreducible tempered and the discrete series representations. All the modules are constructed in… CONTINUE READING
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