Holomorphic sections of pre-quantum line bundles on $G/(P,P)$
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- by Meng-Kiat Chuah PDF
- Proc. Amer. Math. Soc. 128 (2000), 2795-2799 Request permission
Abstract:
Let $G=KAN$ be the Iwasawa decomposition of a complex connected semi-simple Lie group $G$. Let $P \subset G$ be a parabolic subgroup containing $AN$, and let $(P,P)$ be its commutator subgroup. In this paper, we characterize the $K$-invariant KΓ€hler structures on $G/(P,P)$, and study the holomorphic sections of their corresponding pre-quantum line bundles.References
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Additional Information
- Meng-Kiat Chuah
- Affiliation: Department of Applied Mathematics, National Chiao Tung University, 1001 Ta Hsueh Road, Hsinchu, Taiwan
- Email: chuah@math.nctu.edu.tw
- Received by editor(s): October 15, 1998
- Published electronically: February 29, 2000
- Additional Notes: This research was supported in part by the NSC of Taiwan, Contract NSC 88-2115-M-009020
- Communicated by: Roe Goodman
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 2795-2799
- MSC (2000): Primary 22E10, 53D50
- DOI: https://doi.org/10.1090/S0002-9939-00-05636-7
- MathSciNet review: 1709745