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Transactions of the American Mathematical Society

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On the decomposition of Langlands subrepresentations for a group in the Harish-Chandra class

Author: Eugenio Garnica-Vigil
Journal: Trans. Amer. Math. Soc. 347 (1995), 1609-1648
MSC: Primary 22E46; Secondary 22E47
MathSciNet review: 1297526
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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)).

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Keywords: Langlands subrepresentations, irreducible tempered representations, Harish-Chandra modules, Vogan-Zuckerman cohomological induction
Article copyright: © Copyright 1995 American Mathematical Society