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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)

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Special values for conformally invariant systems associated to maximal parabolics of quasi-Heisenberg type
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Trans. Amer. Math. Soc. 366 (2014), 4649-4696 Request permission

Abstract:

In this paper we construct conformally invariant systems of first order and second order differential operators associated to a homogeneous line bundle $\mathcal {L}_{s} \to G_0/Q_0$ with $Q_0$ a maximal parabolic subgroup of quasi-Heisenberg type. This generalizes the results by Barchini, Kable, and Zierau. To do so we use techniques different from ones used by them.
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Additional Information
  • Toshihisa Kubo
  • Affiliation: Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153-8914, Japan
  • MR Author ID: 965976
  • Email: toskubo@ms.u-tokyo.ac.jp
  • Received by editor(s): September 9, 2012
  • Published electronically: May 5, 2014
  • © Copyright 2014 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 366 (2014), 4649-4696
  • MSC (2010): Primary 22E46; Secondary 17B10, 22E47
  • DOI: https://doi.org/10.1090/S0002-9947-2014-06217-X
  • MathSciNet review: 3217696