Uniqueness of Ginzburg-Rallis models: The Archimedean case

Jiang, Dihua; Sun, Binyong; Zhu, Chen-Bo

doi:10.1090/S0002-9947-2010-05285-7

Uniqueness of Ginzburg-Rallis models: The Archimedean case
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by Dihua Jiang, Binyong Sun and Chen-Bo Zhu

Trans. Amer. Math. Soc. 363 (2011), 2763-2802

DOI: https://doi.org/10.1090/S0002-9947-2010-05285-7

Published electronically: December 21, 2010

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Abstract:

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.

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