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

Authors

Hongyu He, Louisiana State University

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

Recommended Citation

He, H. (2017). On the Gan–Gross–Prasad conjecture for U(p, q). Inventiones Mathematicae, 209 (3), 837-884. https://doi.org/10.1007/s00222-017-0720-x