Rad HAZU, Matematičke znanosti, Vol. 21 (2017), 89-98.

TWO SIMPLE OBSERVATIONS ON REPRESENTATIONS OF METAPLECTIC GROUPS

Marko Tadić

Abstract.   M. Hanzer and I. Matić have proved that the genuine unitary principal series representations of the metaplectic groups are irreducible. A simple consequence of that paper is a criterion for the irreducibility of the non-unitary principal series representations of the metaplectic groups that we give in this paper.

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

Key words and phrases.   Metaplectic groups, non-archimedean local fields, parabolic induction, principal series representations, irreducibility.

DOI: https://doi.org/10.21857/m16wjcp6r9

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