Holomorphic discrete models of semisimple Lie groups and their symplectic constructions

DOI10.1006/jfan.2000.3586zbMath0960.22015OpenAlexW2040589490MaRDI QIDQ1580798

Meng-Kiat Chuah

Publication date: 10 May 2001

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

Full work available at URL: https://semanticscholar.org/paper/46a600fe47fee9169aeeca7c724e501e00f94bf7

zbMATH Keywords

flag manifoldsdiscrete seriesline bundlesreal semisimple Lie groupirreducible unitary representationholomorphic discrete model

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46)

Related Items (5)

Dirac cohomology and geometric quantization ⋮ Partial Dirac cohomology and tempered representations ⋮ Regular principal models of split semisimple Lie groups ⋮ Partially harmonic forms and models of \(H\)-series ⋮ Geometric quantization and Zuckerman models of semisimple Lie groups

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• Symplectic reduction and Riemann-Roch formulas for multiplicities
• Quantization and unitary representations
• Kählerian Coset Spaces of Semisimple Lie Groups

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