Principal series representations of metaplectic groups

2017/06/16 by Shiang Tang, Tang, Shiang
Mathematics · #22 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1706.05145

openalex publication_date 2017/06/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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