Harish-Chandra's orthogonality relations for admissible representations

DOI10.4171/JEMS/940zbMath1440.22027MaRDI QIDQ2178248

Dragan Milicic, Jing-Song Huang, Bin Yong Sun

Publication date: 7 May 2020

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

zbMATH Keywords

Harish-Chandra moduleelliptic pairingreal reductive groupHarish-Chandra orthogonality relationshomological pairing

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46)

Related Items (1)

Dirac cohomology and orthogonality relations for weight modules

Cites Work

• Characters, asymptotic and n-homology of Harish-Chandra modules
• Localization and standard modules for real semisimple Lie groups. I: The duality theorem
• Cuspidal geometry of p-adic groups
• Harmonic analysis on real reductive groups. I: The theory of the constant term
• \(L^2\)-cohomology and the discrete series
• Representation theory and sheaves on the Bruhat-Tits building
• Discrete series for semisimple Lie groups. II: Explicit determination of the characters
• Categories and Sheaves
• Unnamed Item
• Unnamed Item

This page was built for publication: Harish-Chandra's orthogonality relations for admissible representations