Principal series representations of metaplectic groups
Abstract
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- June 2017
- DOI:
- 10.48550/arXiv.1706.05145
- arXiv:
- arXiv:1706.05145
- Bibcode:
- 2017arXiv170605145T
- Keywords:
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- Mathematics - Representation Theory;
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