Abstract
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 language | English |
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Pages (from-to) | 5095-5104 |
Number of pages | 10 |
Journal | Communications in Algebra |
Volume | 44 |
Issue number | 12 |
DOIs | |
State | Published - 1 Dec 2016 |
Externally published | Yes |
Keywords
- Quaternion division algebra
- Splitting of metaplectic covers
ASJC Scopus subject areas
- Algebra and Number Theory