Discrete series for semisimple Lie groups. II: Explicit determination of the characters

1966/01/01 by Harish-chandra Harish-Chandra · 6 citations
Mathematics · #Advanced Algebra and Geometry #Differential Equations and Boundary Problems #Algebraic and Geometric Analysis #Mathematics #Series (stratigraphy) #Lie group #Pure mathematics #Simple Lie group #Real form #Algebra over a field #Affine Lie algebra

paper · pdf · doi:10.1007/bf02392813

openalex publication_date 1966/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/09

Abstract

Let G be a connected semisimple Lie group and K a maximal compact subgroup of G.

Citations

• Discrete series for semisimple Lie groups I: Construction of invariant eigendistributions
• Theorie der Darstellung kontinuierlicher halb-einfacher Gruppen durch lineare Transformationen. III
• Arithmetic Subgroups of Algebraic Groups

Cited by

• A fixed point theorem on noncompact manifolds
• Coadjoint Orbits of Reductive Type of Parabolic and Seaweed Lie Subalgebras
• On the characters of the discrete series
• Analytic representation theory of Lie groups: general theory and analytic globalizations of Harish-Chandra modules
• Discrete series representation [wikipedia]
• Tempered representation [wikipedia]