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

DOI:
https://doi.org/10.1090/S0002-9947-1995-1297526-0

MathSciNet review:
1297526

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Abstract: When a group 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 . The classification of tempered representations is a consequence of this theorem (Corollary (5.3.6)).

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9947-1995-1297526-0

Keywords:
Langlands subrepresentations,
irreducible tempered representations,
Harish-Chandra modules,
Vogan-Zuckerman cohomological induction

Article copyright:
© Copyright 1995
American Mathematical Society