Strongly harmonic forms for representations in the discrete series

DOI10.1006/jfan.1998.3327zbMath0914.22017OpenAlexW2086283480MaRDI QIDQ1284049

Leticia Barchini

Publication date: 13 June 1999

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

Full work available at URL: https://doi.org/10.1006/jfan.1998.3327

zbMATH Keywords

coadjoint orbitsdiscrete seriesharmonic formssemisimple connected Lie group

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items (1)

A cocycle formula for the quaternionic discrete series

Cites Work

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• Correction and addition to Szegö kernels associated with discrete series
• Intertwining operators into Dolbeault cohomology representations
• Szegoe kernels associated with discrete series
• \(L^2\)-cohomology and the discrete series
• Szegö mappings, harmonic forms, and Dolbeault cohomology
• Intertwining operators into cohomology representations for semisimple Lie groups
• Singular unitary representations and indefinite harmonic theory
• Square integrable harmonic forms and representation theory
• Discrete series for semisimple Lie groups. II: Explicit determination of the characters

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