Partial Dirac cohomology and tempered representations

DOI10.1016/j.jfa.2022.109822OpenAlexW3011830974MaRDI QIDQ2680204

Meng-Kiat Chuah, Joseph A. Wolf, Jing-Song Huang

Publication date: 30 January 2023

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.05543

zbMATH Keywords

geometric quantizationtempered representationDirac cohomologyreal reductive group

Mathematics Subject Classification ID

Homogeneous spaces (22F30) Semisimple Lie groups and their representations (22E46) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Geometric quantization (53D50)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dirac cohomology and geometric quantization
• Models of representations of classical groups and their hidden symmetries
• Geometric quantization and multiplicities of group representations
• Harmonic analysis on real reductive groups. I: The theory of the constant term
• Orbit method and nondegenerate series
• Reduction of symplectic manifolds with symmetry
• Harmonic analysis on real reductive groups. III: The Maass-Selberg relations and the plancherel formula
• Harmonic analysis on real reductive groups. II: Wave-packets in the Schwartz space
• Holomorphic discrete models of semisimple Lie groups and their symplectic constructions
• Partially harmonic spinors and representations of reductive Lie groups
• Partially harmonic forms and models of \(H\)-series
• Unitarizability of certain series of representations
• Discrete series for semisimple Lie groups. II: Explicit determination of the characters
• Dirac cohomology, unitary representations and a proof of a conjecture of Vogan
• Induced Representations of Locally Compact Groups
• Regular principal models of split semisimple Lie groups
• THE DIRECT INTEGRAL OF SOME WEIGHTED BERGMAN SPACES
• The action of a real semisimple Lie group on a complex flag manifold. II. Unitary representations on partially holomorphic cohomology spaces
• Representations on partially holomorphic cohomology spaces, revisited
• Quantization and unitary representations
• Lie groups beyond an introduction

This page was built for publication: Partial Dirac cohomology and tempered representations