Izvorni znanstveni članak

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

Unitary dual of p-adic group SO(7) with support on minimal parabolic subgroup

Darija Brajković Zorić orcid.org/0000-0001-5146-9296 ; Department of Mathematics, J.J. Strossmayer University of Osijek, 31 000 Osijek, Croatia

Sažetak

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.

Ključne riječi

Unitary dual, p-adic special orthogonal group, non-unitary dual

Hrčak ID:

259304

URI

https://hrcak.srce.hr/259304

Datum izdavanja:

24.6.2021.

Posjeta: 578 *