Stable base change C/R of certain derived functor modules

DOI10.1007/BF01446906zbMath0672.22016MaRDI QIDQ1120012

Joseph F. Johnson

Publication date: 1990

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164698

zbMATH Keywords

characterirreducible representationsLanglands functorialityderived functor modulesconnected complex reductive algebraic groupenlarged packetstempered L-packet

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Analysis on other specific Lie groups (43A80) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items (8)

Hodge classes and the Jacquet–Langlands correspondence ⋮ Image of normalized intertwining operators and poles of the Eisenstein series ⋮ Représentations galoisiennes associées aux représentations automorphes autoduales de \(GL(n)\). (Galois representations associated with self-dual automorphic representations of \(GL(n)\)) ⋮ Paquets d’Arthur des groupes classiques et unitaires ⋮ Non-cuspidal square integrable automorphic forms. ⋮ Galois-twisted Euler-Poincaré characteristics of complex algebraic groups ⋮ Unnamed Item ⋮ On the cohomology of Kottwitz's arithmetic varieties

Cites Work

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• On the unitarizability of derived functor modules
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• On the canonical \(k\)-types in the irreducible unitary \(\mathfrak g\)-modules with non-zero relative cohomology
• Representations of real reductive Lie groups
• Endoscopic groups and base change C/R
• Irreducible characters of semisimple Lie groups. III: Proof of Kazhdan-Lusztig conjecture in the integral case
• L-indistinguishability for real groups
• Unitarizability of certain series of representations
• Changement de base pour les représentations tempérées des groupes réductifs réels

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