Uniqueness of Ginzburg-Rallis models: The Archimedean case

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

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

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ISSN 1088-6850(online) ISSN 0002-9947(print)

Uniqueness of Ginzburg-Rallis models: The Archimedean case

Authors: Dihua Jiang, Binyong Sun and Chen-Bo Zhu
Journal: Trans. Amer. Math. Soc. 363 (2011), 2763-2802
MSC (2000): Primary 22E46; Secondary 11F70
Published electronically: December 21, 2010
MathSciNet review: 2763736
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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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