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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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Unitary dual of the non-split inner form of $Sp(8,F)$
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by Marcela Hanzer PDF
Trans. Amer. Math. Soc. 360 (2008), 1005-1034 Request permission

Abstract:

We classify the non-cuspidal part of the unitary dual of the non-quasi-split inner form of $Sp(8,F)$, where $F$ is a non-archimedean field of characteristic zero. We obtain a conjectural description of the discrete $L$-packets which contain representations of $Sp(4,F)$ and its non-split inner form.
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Additional Information
  • Marcela Hanzer
  • Affiliation: Department of Mathematics, University of Zagreb, Dubrovnik, Croatia
  • Address at time of publication: Department of Mathematics, Purdue University, West Lafayette, Indiana 47907
  • Email: hanmar@math.hr
  • Received by editor(s): October 1, 2005
  • Received by editor(s) in revised form: February 24, 2006
  • Published electronically: September 4, 2007
  • © Copyright 2007 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 360 (2008), 1005-1034
  • MSC (2000): Primary 22E35
  • DOI: https://doi.org/10.1090/S0002-9947-07-04286-9
  • MathSciNet review: 2346481