Abstract
In this chapter we turn to the local non-archimedean case and study the representation theory of GJ (F), where >F is a finite extension of some Qp. We will reach the goal of classifying all irreducible, admissible representations of \(G^J(F)\) by using the fundamental relation \(\pi\simeq\tilde{\pi}\otimes\pi^m_{\rm sw}\) and the classification of representations of the metaplectic group given by Waldspurger in [Wa1].
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© 1998 Birkhäuser Verlag, reprint by Springer Basel AG
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Berndt, R., Schmidt, R. (1998). Local Representations: The p-adic Case. In: Elements of the Representation Theory of the Jacobi Group. Modern Birkhäuser Classics. Springer, Basel. https://doi.org/10.1007/978-3-0348-0283-3_5
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DOI: https://doi.org/10.1007/978-3-0348-0283-3_5
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