Action of Intertwining operators on pseudospherical K-types

@article{Tang2015ActionOI,
  title={Action of Intertwining operators on pseudospherical K-types},
  author={Shiang Tang},
  journal={arXiv: Representation Theory},
  year={2015}
}
  • 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
Principal series representations of metaplectic groups
We study the principal series representations of central extensions of a split reductive algebraic group by a cyclic group of order $n$. We compute the Plancherel measure of the representation usingExpand

References

SHOWING 1-3 OF 3 REFERENCES
Modular forms on non-linear double covers of algebraic groups
We construct automorphic representations of non-linear two-fold covers of simply connected Chevalley groups via residues of Eisenstein series. In the process, we establish some basic results inExpand
Unitary Shimura correspondences for split real groups
We find a relationship between certain complementary series representations for nonlinear coverings of split simple groups, and spherical complementary series for (different) linear groups. The mainExpand