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arXiv · 1503.07337

Branching laws for the metaplectic cover of ${\rm GL}_{2}$

Shiv Prakash Patel
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Abstract

Let $F$ be a non-Archimedian local field of characteristic zero and $E/F$ a quadratic extension. The aim of the present article is to study the multiplicity of an irreducible admissible representation of ${\rm GL}_2(F)$ occurring in an irreducible admissible genuine representation of non-trivial two fold covering $\widetilde{{\rm GL}}_2(E)$ of ${\rm GL}_2(E)$.

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BibTeXRIS

Shiv Prakash Patel. 2015-03-25. Branching laws for the metaplectic cover of ${\rm GL}_{2}$. https://doi.org/10.2140/pjm.2017.291.461

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