Abstract
Let F be a p-adic field. Let Sp(n) denote the sympletic group of rank n over F, and let \({\widetilde{Sp(n)}}\) be the unique (up to isomorphism) metaplectic double cover of Sp(n). We prove irreducibility of the unitary principal series of the group \({\widetilde{Sp(n)}}\) over F using theta correspondence.
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Hanzer, M., Matić, I. Irreducibility of the unitary principal series of p-adic \({\widetilde{Sp(n)}}\) . manuscripta math. 132, 539–547 (2010). https://doi.org/10.1007/s00229-010-0362-4
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DOI: https://doi.org/10.1007/s00229-010-0362-4