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Generic representations of metaplectic groups and their theta lifts

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In this paper we give the description of generic representations of metaplectic groups over p-adic fields in terms of their Langlands parameters and calculate their theta lifts on all levels… Click to show full abstract

In this paper we give the description of generic representations of metaplectic groups over p-adic fields in terms of their Langlands parameters and calculate their theta lifts on all levels for any tower of odd orthogonal groups. We also describe precisely all the occurrences of the failure of the standard module conjecture for metaplectic groups.

Keywords: groups theta; metaplectic groups; theta lifts; generic representations; representations metaplectic

Journal Title: Mathematische Zeitschrift
Year Published: 2020

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