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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Uniqueness of Ginzburg-Rallis models: The Archimedean case
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by Dihua Jiang, Binyong Sun and Chen-Bo Zhu PDF
Trans. Amer. Math. Soc. 363 (2011), 2763-2802 Request permission

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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Additional Information
  • Dihua Jiang
  • Affiliation: School of Mathematics, University of Minnesota, 206 Church Street, S.E., Minneapolis, Minnesota 55455
  • MR Author ID: 260974
  • Email: dhjiang@math.umn.edu
  • Binyong Sun
  • Affiliation: Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, People’s Republic of China
  • MR Author ID: 805605
  • Email: sun@math.ac.cn
  • Chen-Bo Zhu
  • Affiliation: Department of Mathematics, National University of Singapore, 2 Science Drive 2, Singapore 117543
  • MR Author ID: 305157
  • ORCID: 0000-0003-3819-1458
  • Email: matzhucb@nus.edu.sg
  • Received by editor(s): April 16, 2009
  • Received by editor(s) in revised form: December 22, 2009
  • Published electronically: December 21, 2010
  • Additional Notes: The first author was supported in part by NSF (USA) grant DMS–0653742 and by a Distinguished Visiting Professorship at the Academy of Mathematics and System Sciences, the Chinese Academy of Sciences
    The second author was supported by NUS-MOE grant R-146-000-102-112 and by NSFC grants 10801126 and 10931006
    The third author was supported by NUS-MOE grant R-146-000-102-112
  • © Copyright 2010 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 363 (2011), 2763-2802
  • MSC (2000): Primary 22E46; Secondary 11F70
  • DOI: https://doi.org/10.1090/S0002-9947-2010-05285-7
  • MathSciNet review: 2763736