Kaehler structures on 𝐾_{𝐂}/(𝐏,𝐏)

DOI10.1090/S0002-9947-97-01840-0zbMath1010.53061arXivdg-ga/9608008MaRDI QIDQ4372550

Meng-Kiat Chuah

Publication date: 16 December 1997

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

Full work available at URL: https://arxiv.org/abs/dg-ga/9608008

zbMATH Keywords

line bundlesemisimple Lie groupholomorphic sectionsirreducible \(K\)-representations\(K\)-invariant Kaehler structure

Mathematics Subject Classification ID

Momentum maps; symplectic reduction (53D20) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Geometric quantization (53D50)

Related Items

Dirac cohomology and geometric quantization, 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, Holomorphic discrete models of semisimple Lie groups and their symplectic constructions, Holomorphic sections of pre-quantum line bundles on $G/(P,P)$

Cites Work

• Geometric quantization and multiplicities of group representations
• Virasoro model space
• Quantization and unitary representations
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