Dirac cohomology and Dirac induction

DOI10.1007/S11425-011-4295-5zbMath1257.22013OpenAlexW2258932335MaRDI QIDQ424871

Jing-Song Huang

Publication date: 7 June 2012

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-011-4295-5

zbMATH Keywords

representationDirac operatorsemisimple Lie groupdiscrete seriesDirac cohomologyDirac induction

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46)

Related Items (2)

Dirac cohomology and geometric quantization ⋮ Dirac cohomology, elliptic representations and endoscopy

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dirac cohomology of Wallach representations
• A geometric construction of the discrete series for semisimple Lie groups
• Erratum: A geometric construction of the discrete series for semisimple Lie groups
• A generalization of the Bott-Weil theorem and Euler number multiplets of representations
• A cubic Dirac operator and the emergence of Euler number multiplets of representations for equal rank subgroups
• Unitarizability of certain series of representations
• Discrete series for semisimple Lie groups. I: Construction of invariant eigendistributions
• Discrete series for semisimple Lie groups. II: Explicit determination of the characters
• Dirac operator and the discrete series
• Dirac cohomology, unitary representations and a proof of a conjecture of Vogan
• Dirac operators and Lie algebra cohomology

This page was built for publication: Dirac cohomology and Dirac induction