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Holomorphic sections of pre-quantum line bundles on |
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| Authors: | Meng-Kiat Chuah |
| Institution: | Department of Applied Mathematics, National Chiao Tung University, 1001 Ta Hsueh Road, Hsinchu, Taiwan |
| Abstract: | Let |
| Keywords: | K\"{a}hler Lie group line bundle |
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be the Iwasawa decomposition of a complex connected semi-simple Lie group 
. Let 
be a parabolic subgroup containing 
, and let 
be its commutator subgroup. In this paper, we characterize the 
-invariant Kähler structures on 
, and study the holomorphic sections of their corresponding pre-quantum line bundles.