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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Hecke algebras related to the unimodular and modular groups over quadratic field extensions and quaternion algebras
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by Martin Raum PDF
Proc. Amer. Math. Soc. 139 (2011), 1321-1331 Request permission

Abstract:

We investigate the structure of the Hecke algebras related to the unimodular and modular groups over quadratic field extensions and quaternion algebras. In particular, we show that in general there is no decomposition into primary components. We give a set of generators, and in some special cases we deduce the commutation relation with the Siegel $\Phi$-operator.
References
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Additional Information
  • Martin Raum
  • Affiliation: Lehrstuhl A für Mathematik, RWTH Aachen University, 52056 Aachen, Germany
  • Address at time of publication: MPI für Mathematik, Vivatsgasse 7, 53111 Bonn, Germany
  • Email: Martin.Raum@matha.rwth-aachen.de, mraum@mpim-bonn.mpg.de
  • Received by editor(s): December 22, 2009
  • Received by editor(s) in revised form: April 27, 2010, and May 2, 2010
  • Published electronically: September 3, 2010
  • Communicated by: Wen-Ching Winnie Li
  • © Copyright 2010 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 139 (2011), 1321-1331
  • MSC (2010): Primary 11F60
  • DOI: https://doi.org/10.1090/S0002-9939-2010-10570-1
  • MathSciNet review: 2748425