Uniqueness of Ginzburg-Rallis models: the Archimedean case

Dihua Jiang, Binyong Sun, Chen-Bo Zhu

Published 2009-03-08, updated 2009-12-23Version 2

In this paper, we prove the uniqueness of Ginzburg-Rallis models in the archimedean case. As a key ingredient, we introduce a new descent argument based on two geometric notions attached to submanifolds, which we call metrical properness and unipotent $\chi$-incompatibility.