A cocycle formula for the quaternionic discrete series

DOI10.1090/S0002-9939-02-06809-0zbMath1035.22008OpenAlexW1556311536MaRDI QIDQ4794597

Robert W. jun. Donley

Publication date: 19 February 2003

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-02-06809-0

zbMATH Keywords

semisimple Lie groupdiscrete series

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Integral geometry (53C65)

Cites Work

• \(L^2\)-cohomology and the discrete series
• Strongly harmonic forms for representations in the discrete series
• Orthogonality relations and harmonic forms for semisimple Lie groups
• Discrete series for semisimple Lie groups. II: Explicit determination of the characters
• Locally homogeneous complex manifolds
• On quaternionic discrete series representations, and their continuations.
• Lie groups beyond an introduction
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