The Gan-Gross-Prasad conjecture for U(n) × U(n)

Hang Xue

doi:10.1016/j.aim.2014.06.010

The Gan-Gross-Prasad conjecture for U(n) × U(n)

Hang Xue

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

We prove the Gan-Gross-Prasad conjecture for U(n) × U(n) under some local conditions using a relative trace formula. We deduce some new cases of the Gan-Gross-Prasad conjecture for U(n + 1) × U(n) from the case of U(n) × U(n).

Original language	English (US)
Pages (from-to)	1130-1191
Number of pages	62
Journal	Advances in Mathematics
Volume	262
DOIs	https://doi.org/10.1016/j.aim.2014.06.010
State	Published - Sep 10 2014
Externally published	Yes

Keywords

11F70
Gan-Gross-Prasad conjecture
Relative trace formulae

ASJC Scopus subject areas

General Mathematics

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10.1016/j.aim.2014.06.010

Cite this

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title = "The Gan-Gross-Prasad conjecture for U(n) × U(n)",

abstract = "We prove the Gan-Gross-Prasad conjecture for U(n) × U(n) under some local conditions using a relative trace formula. We deduce some new cases of the Gan-Gross-Prasad conjecture for U(n + 1) × U(n) from the case of U(n) × U(n).",

keywords = "11F70, Gan-Gross-Prasad conjecture, Relative trace formulae",

author = "Hang Xue",

year = "2014",

month = sep,

day = "10",

doi = "10.1016/j.aim.2014.06.010",

language = "English (US)",

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pages = "1130--1191",

journal = "Advances in Mathematics",

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AU - Xue, Hang

PY - 2014/9/10

Y1 - 2014/9/10

N2 - We prove the Gan-Gross-Prasad conjecture for U(n) × U(n) under some local conditions using a relative trace formula. We deduce some new cases of the Gan-Gross-Prasad conjecture for U(n + 1) × U(n) from the case of U(n) × U(n).

AB - We prove the Gan-Gross-Prasad conjecture for U(n) × U(n) under some local conditions using a relative trace formula. We deduce some new cases of the Gan-Gross-Prasad conjecture for U(n + 1) × U(n) from the case of U(n) × U(n).

KW - 11F70

KW - Gan-Gross-Prasad conjecture

KW - Relative trace formulae

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U2 - 10.1016/j.aim.2014.06.010

DO - 10.1016/j.aim.2014.06.010

M3 - Article

AN - SCOPUS:84903712193

SN - 0001-8708

VL - 262

SP - 1130

EP - 1191

JO - Advances in Mathematics

JF - Advances in Mathematics

ER -

The Gan-Gross-Prasad conjecture for U(n) × U(n)

Abstract

Keywords

ASJC Scopus subject areas

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