Glasnik Matematicki, Vol. 56, No. 1 (2021), 107-149.

UNITARY DUAL OF P-ADIC GROUP SO(7) WITH SUPPORT ON MINIMAL PARABOLIC SUBGROUP

Darija Brajković Zorić

Department of Mathematics, J.J. Strossmayer University of Osijek, 31 000 Osijek, Croatia
e-mail: dbrajkovic@mathos.hr

Abstract.   In this paper, the unitary dual of p-adic group SO(7) with support on minimal parabolic subgroup is determined. In explicit determination of the unitary dual the external approach is used, which represents the basic approach for finding the unitary dual, and consists of two main steps: a complete description of the non-unitary dual and the extraction of the classes of unitarizable representations among the obtained irreducible subquotients. We expect that our results will provide deeper insight into the structure of the unitary dual in the general case.

2020 Mathematics Subject Classification.   22E50, 22E35, 11F70

Key words and phrases.   Unitary dual, p-adic special orthogonal group, non-unitary dual

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https://doi.org/10.3336/gm.56.1.08

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