Action of Intertwining operators on pseudospherical K-types

  title={Action of Intertwining operators on pseudospherical K-types},
  author={Shiang Tang},
  journal={arXiv: Representation Theory},
  • Shiang Tang
  • Published 2015
  • Mathematics
  • arXiv: Representation Theory
In this paper, we give a concrete description of the two-fold cover of a simply connected, split real reductive group and its maximal compact subgroup as Chevalley groups. We define a representation of the maximal compact subgroup called pseudospherical representation, it appears with multiplicity one in the principal series representation. We introduce a family of canonically defined intertwining operators and compute the action of them on pseudospherical K-types, obtaining explicit formulas… Expand
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