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 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)
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