# On the Gan–Gross–Prasad conjecture for U(p,q)

On the Gan–Gross–Prasad conjecture for U(p,q) In this paper, we give a proof of the Gan–Gross–Prasad conjecture for the discrete series of U(p, q). There are three themes in this paper: branching laws of a small $$A_{\mathfrak {q}}(\lambda )$$ A q ( λ ) , branching laws of discrete series and inductive construction of discrete series. These themes are linked together by a reciprocity law and the notion of invariant tensor product. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Inventiones mathematicae Springer Journals

# On the Gan–Gross–Prasad conjecture for U(p,q)

, Volume 209 (3) – Feb 17, 2017
48 pages

Publisher
Springer Berlin Heidelberg
Subject
Mathematics; Mathematics, general
ISSN
0020-9910
eISSN
1432-1297
D.O.I.
10.1007/s00222-017-0720-x
Publisher site
See Article on Publisher Site

### Abstract

In this paper, we give a proof of the Gan–Gross–Prasad conjecture for the discrete series of U(p, q). There are three themes in this paper: branching laws of a small $$A_{\mathfrak {q}}(\lambda )$$ A q ( λ ) , branching laws of discrete series and inductive construction of discrete series. These themes are linked together by a reciprocity law and the notion of invariant tensor product.

### Journal

Inventiones mathematicaeSpringer Journals

Published: Feb 17, 2017

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