Corpus ID: 45946409

Principal series representations of metaplectic groups

  title={Principal series representations of metaplectic groups},
  author={Shiang Tang},
  journal={arXiv: Representation Theory},
  • Shiang Tang
  • Published 2017
  • Mathematics
  • arXiv: Representation Theory
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 using Eisenstein series and a comparison method. In addition, we construct genuine central characters of the metaplectic torus in the simply-laced case. 


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