Representation theory of hermitian quaternionic groups over p-adic fields

Jurčević Peček, Nevena (2016) Representation theory of hermitian quaternionic groups over p-adic fields. Doctoral thesis, Faculty of Science > Department of Mathematics.

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Abstract

In the thesis, the reducibility of representations of p-adic hermitian quaternionic groups that are parabolically induced from cuspidal and (essentially) square-integrable representations of the Levi factors of standard parabolic subgroups is studied. Main results generalize the reducibility criteria of Tadi´c for split symplectic and special orthogonal groups to the case of arbitrary hermitian quaternionic groups. Proofs rely on the Jacquet module techniques and use the structure formula and the theory of R-groups. It is proved that for Hermitian quaternionic groups the structure formula holds and the R-groups are determined.

Item Type: Thesis (Doctoral thesis)
Keywords: hermitian quaternionic groups, parabolically induced representations, Jacquet modules, R-groups, reducibility, structure formula, p−adic fields, classical groups
Supervisor: Grbac, Neven and Hanzer, Marcela
Date: 2016
Number of Pages: 107
Subjects: NATURAL SCIENCES > Mathematics
NATURAL SCIENCES > Mathematics > Algebra
Divisions: Faculty of Science > Department of Mathematics
Depositing User: Iva Prah
Date Deposited: 26 Feb 2016 10:02
Last Modified: 26 Feb 2016 10:02
URI: http://digre.pmf.unizg.hr/id/eprint/4518

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