Indefinite Harmonic Theory and Harmonic Spinors

DOI10.1007/978-1-4614-7193-6_3zbMath1285.22015OpenAlexW115027887MaRDI QIDQ2871393

Leticia Barchini, Roger Zierau

Publication date: 23 January 2014

Published in: Progress in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4614-7193-6_3

zbMATH Keywords

homogeneous spacesDirac operatorsunitary representations

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Semisimple Lie groups and their representations (22E46)

Cites Work

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• Intertwining operators into Dolbeault cohomology representations
• On a conjecture of Langlands
• \(L^2\)-cohomology and the discrete series
• A geometric construction of the discrete series for semisimple Lie groups
• Szegö mappings, harmonic forms, and Dolbeault cohomology
• Intertwining operators into cohomology representations for semisimple Lie groups
• Singular unitary representations and indefinite harmonic theory
• Dolbeault cohomological realization of Zuckerman modules associated with finite rank representations
• Square integrable harmonic forms and representation theory
• A cubic Dirac operator and the emergence of Euler number multiplets of representations for equal rank subgroups
• Unitarizability of certain series of representations
• Positive metrics on reductive homogeneous spaces
• Dirac operator and the discrete series
• Principal series representations and harmonic spinors
• Schur orthogonality relations and invariant sesquilinear forms
• Representations of Semisimple Lie Groups, V
• The action of a real semisimple Lie group on a complex flag manifold. II. Unitary representations on partially holomorphic cohomology spaces
• Representations of a Semisimple Lie Group on a Banach Space. I

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