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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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The metaplectic Casselman-Shalika formula
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by Peter J. McNamara PDF
Trans. Amer. Math. Soc. 368 (2016), 2913-2937

Abstract:

This paper studies spherical Whittaker functions for central extensions of reductive groups over local fields. We follow the development of Chinta and Offen to produce a metaplectic Casselman-Shalika formula for tame covers of all unramified groups.
References
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Additional Information
  • Peter J. McNamara
  • Affiliation: School of Mathematics and Statistics, The University of Sydney, New South Wales 2006, Australia
  • Address at time of publication: School of Mathematics and Physics, The University of Queensland, Brisbane St. Lucia, Queensland 4072, Australia
  • MR Author ID: 791816
  • Email: mcnamara@maths.usyd.edu.au
  • Received by editor(s): April 23, 2014
  • Received by editor(s) in revised form: October 15, 2014, and October 19, 2014
  • Published electronically: May 29, 2015
  • © Copyright 2015 Peter McNamara
  • Journal: Trans. Amer. Math. Soc. 368 (2016), 2913-2937
  • MSC (2010): Primary 22E50
  • DOI: https://doi.org/10.1090/tran/6597
  • MathSciNet review: 3449262