On the Gan–Gross–Prasad problem for finite unitary groups

In this paper we study the Gan–Gross–Prasad problem for unitary groups over finite fields. Our results provide complete answers for unipotent representations, and we obtain the explicit branching of these representations.

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Bibliographic Details
Published in:Mathematische Zeitschrift 2021-04, Vol.297 (3-4), p.997-1021
Main Authors: Liu, Dongwen, Wang, Zhicheng
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Description
Summary:In this paper we study the Gan–Gross–Prasad problem for unitary groups over finite fields. Our results provide complete answers for unipotent representations, and we obtain the explicit branching of these representations.
ISSN:0025-5874
1432-1823
DOI:10.1007/s00209-020-02543-3