Highly cuspidal pseudocoefficients and \(K\)-theory

DOI10.1007/BF01445230zbMath0789.22028OpenAlexW2911601149MaRDI QIDQ1191410

Jean-Pierre Labesse

Publication date: 27 September 1992

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

Full work available at URL: https://eudml.org/doc/164889

zbMATH Keywords

Dirac operatorsirreducible unitary representationsindex formulareal reductive Lie groupshighly cuspidal functionsLefschetz functionspseudocoefficientstwisted Euler- Poincaré functions

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) (K)-theory and operator algebras (19K99) Continuous cohomology of Lie groups (22E41)

Related Items (20)

On the generic part of the cohomology of compact unitary Shimura varieties ⋮ Intégrales orbitales sur les groupes de Lie réductifs ⋮ Holomorphic torsion and closed geodesics ⋮ Galois representations arising from some compact Shimura varieties ⋮ Twisted Dirac Index and Applications to Characters ⋮ Représentations galoisiennes associées aux représentations automorphes autoduales de \(GL(n)\). (Galois representations associated with self-dual automorphic representations of \(GL(n)\)) ⋮ Twisted Lefschetz number formula and 𝑝-adic trace formula ⋮ The index theorem and the trace formula ⋮ Euler-Poincaré pairing, Dirac index and elliptic pairing for Harish-Chandra modules ⋮ On the index of Dirac operators on arithmetic quotients ⋮ A prime geodesic theorem for \(\mathrm{SL}_4\) ⋮ Twisted limit formula for torsion and cyclic base change ⋮ Unnamed Item ⋮ Dirac cohomology and character lifting ⋮ Corps de nombres peu ramifiés et formes automorphes autoduales ⋮ Dirac cohomology, elliptic representations and endoscopy ⋮ Unnamed Item ⋮ On elliptic tempered characters ⋮ Lefschetz numbers and twisted stabilized orbital integrals ⋮ Cyclic homology, Selberg's principle and pseudo-coefficient

Cites Work

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• A geometric construction of the discrete series for semisimple Lie groups
• Unitarizability of certain series of representations
• Dirac operator and the discrete series
• The Invariant Trace Formula. II. Global Theory
• Le théorème de Paley-Wiener invariant pour les groupes de Lie réductifs. II

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