Harmonic Spinors on Reductive Homogeneous Spaces

DOI10.1007/978-3-319-09934-7_6zbMath1319.22010OpenAlexW627861152MaRDI QIDQ5265189

Roger Zierau, Salah Mehdi

Publication date: 22 July 2015

Published in: Developments and Retrospectives in Lie Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-09934-7_6

zbMATH Keywords

principal series representationscubic Dirac operatorharmonic spinorsreductive homogeneous spacesfundamental series representations

Mathematics Subject Classification ID

Homogeneous spaces (22F30) Semisimple Lie groups and their representations (22E46)

Related Items (2)

Noncubic Dirac operators for finite dimensional modules ⋮ Representation theoretic embedding of twisted Dirac operators

Cites Work

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• A cubic Dirac operator and the emergence of Euler number multiplets of representations for equal rank subgroups
• Unitarizability of certain series of representations
• Dirac operator and the discrete series
• Principal series representations and harmonic spinors
• The Dirac cohomology of a finite dimensional representation

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