Glasnik matematički, Vol. 56 No. 1, 2021.
Original scientific paper
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
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.
Keywords
Unitary dual, p-adic special orthogonal group, non-unitary dual
Hrčak ID:
259304
URI
Publication date:
24.6.2021.
Visits: 583 *