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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 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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On the decomposition of Langlands subrepresentations for a group in the Harish-Chandra class
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by Eugenio Garnica-Vigil
Trans. Amer. Math. Soc. 347 (1995), 1609-1648
DOI: https://doi.org/10.1090/S0002-9947-1995-1297526-0

Abstract:

When a group $G$ is in the Harish-Chandra class, the goal of classifying its tempered representations and the goal of decomposing the Langlands subrepresentation for any of its standard representations are equivalent. The main result of this work is given in Theorem (5.3.5) that consists of a formula for decomposing any Langlands subrepresentation for the group $G$. The classification of tempered representations is a consequence of this theorem (Corollary (5.3.6)).
References
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Bibliographic Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 347 (1995), 1609-1648
  • MSC: Primary 22E46; Secondary 22E47
  • DOI: https://doi.org/10.1090/S0002-9947-1995-1297526-0
  • MathSciNet review: 1297526