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arXiv · 1706.05145

Principal series representations of metaplectic groups

Shiang Tang
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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.

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Shiang Tang. 2017-06-16. Principal series representations of metaplectic groups. https://arxiv.org/abs/1706.05145

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