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

David Goldberg, Dani Szpruch

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Pages (from-to)1907-1936
Number of pages30
JournalInternational Journal of Number Theory
Issue number7
StatePublished - 1 Nov 2016
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2016 World Scientific Publishing Company.


  • Metaplectic groups
  • Plancherel measure
  • metaplectic local coefficients


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