A Question on Splitting of Metaplectic Covers

Shiv Prakash Patel

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1 Scopus citations


Let F be a non-Archimedian local field. Splitting of twofold metaplectic cover of Sp2n(F) restricted to various subgroups of Sp2n(F) is important in application of the Weil representation of the metaplectic group. Let E/F be a quadratic extension. In this paper, we prove the splitting of the metaplectic cover of GL2(E) restricted to the subgroup DFx , where DF is the quaternion division algebra with center F, as a first step in our study of the restriction of representations of metaplectic cover of GL2(E) to GL2(F) and DFx. These results were suggested to the author by Professor Dipendra Prasad.

Original languageEnglish
Pages (from-to)5095-5104
Number of pages10
JournalCommunications in Algebra
Issue number12
StatePublished - 1 Dec 2016
Externally publishedYes


  • Quaternion division algebra
  • Splitting of metaplectic covers

ASJC Scopus subject areas

  • Algebra and Number Theory


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