Glasnik Matematicki, Vol. 52, No. 2 (2017), 257-274.

REDUCIBILITY OF SOME GENERALIZED PRINCIPAL SERIES OF THE METAPLECTIC GROUP

Igor Ciganović

Abstract.   We determine reducibility of the representation of the metaplectic group induced from the tensor product of an essentially square integrable representation attached to the Zelevinsky segment and a genuine cuspidal representation of the metaplectic group.

2010 Mathematics Subject Classification.   22D12, 22E50, 22D30, 11F85.

Key words and phrases.   Metaplectic group, p-adic field, parabolic induction, Jacquet module, generalized principal series.

DOI: 10.3336/gm.52.2.06

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