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Journal of the American Mathematical Society

Published by the American Mathematical Society, the Journal of the American Mathematical Society (JAMS) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6834 (online) ISSN 0894-0347 (print)

The 2020 MCQ for Journal of the American Mathematical Society is 4.79.

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Construction of discrete series for classical $p$-adic groups
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by Colette Mœglin and Marko Tadić PDF
J. Amer. Math. Soc. 15 (2002), 715-786 Request permission

Abstract:

The classification of irreducible square integrable representations of classical $p$-adic groups is completed in this paper, under a natural local assumption. Further, this classification gives a parameterization of irreducible tempered representations of these groups. Therefore, it implies a classification of the non-unitary duals of these groups (modulo cuspidal data). The classification of irreducible square integrable representations is directly related to the parameterization of irreducible square integrable representations in terms of dual objects, which is predicted by Langlands program.
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Additional Information
  • Colette Mœglin
  • Affiliation: Institut de Mathématiques de Jussieu, CNRS, F-75251 Paris Cedex 05, France
  • Email: moeglin@math.jussieu.fr
  • Marko Tadić
  • Affiliation: Department of Mathematics, University of Zagreb, Bijenička 30, 10000 Zagreb, Croatia
  • ORCID: 0000-0002-6087-3765
  • Email: tadic@math.hr
  • Received by editor(s): December 1, 2000
  • Received by editor(s) in revised form: January 2, 2002
  • Published electronically: April 5, 2002
  • Additional Notes: The second author was partly supported by Croatian Ministry of Science and Technology grant # 37001.
  • © Copyright 2002 American Mathematical Society
  • Journal: J. Amer. Math. Soc. 15 (2002), 715-786
  • MSC (1991): Primary 22E50, 22E35; Secondary 11F70, 11S37
  • DOI: https://doi.org/10.1090/S0894-0347-02-00389-2
  • MathSciNet review: 1896238