Document Type

Article

Publication Date

9-1-2017

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 Aq(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.

Publication Source (Journal or Book title)

Inventiones Mathematicae

First Page

837

Last Page

884

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