Plancherel measures for coverings of p-adic SL2(F)

David Goldberg; Dani Szpruch

doi:https://doi.org/10.1142/S1793042116501189

Plancherel measures for coverings of p-adic SL₂(F)

Research output: Contribution to journal › Article › peer-review

Abstract

In these notes, we compute the Plancherel measures associated with genuine principal series representations of n-fold covers of p-adic SL₂. Along the way, we also compute a higher dimensional metaplectic analog of Shahidi local coefficients. Our method involves new functional equations utilizing the Tate γ-factor and a metaplectic counterpart. As an application, we prove an irreducibility theorem.

Original language	English
Pages (from-to)	1907-1936
Number of pages	30
Journal	International Journal of Number Theory
Volume	12
Issue number	7
DOIs	https://doi.org/10.1142/S1793042116501189
State	Published - 1 Nov 2016
Externally published	Yes

Keywords

Metaplectic groups
Plancherel measure
metaplectic local coefficients

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

Access to Document

https://doi.org/10.1142/S1793042116501189

Cite this

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